Simplified cost analysis:
Nuclear plant: Areva 1600 MW unit being built in Finland (and similar one in France, I think): Current cost estimate 8.5B euro (more than 11B USD). Raw cost per W (ignore service breaks for simplicity) becomes 5.3e/W. It does not take up that much space but due to people being allergic to nuclear power plant in their backyard, it needs to be located somewhere remote where there is cooling water available. Efficiency could be increased if the cooling water could be used for, say, heating application or industrial process. As the plants are typically some 35% efficient, there is large amount of excess heat generated which currently is not used.
Solar plant using ordinary panels: We need 24/3.5 times larger nominal power to get same production capacity, assuming 3.5 factor (quite common value in Europe), so we need about 11000 MW of solar panels. These cost, assuming they can be installed efficiently, about 1 euro per W (panels 0.6 + cabling and other installation stuff). In addition, we need a battery plant to even out production, lets assume that we need to store full capacity for 2 hours, or, that slightly less than half of energy produced can be used when generated and rest has to be stored. At battery storage cost of 300 euro per kWh (current cost, roughly based on Chinese Li-Ion large cells) is about 6.6B, so total comes up to 11000 + 6600 or 17600B. It is about double the cost to nuclear. However, cost of panels can go lower, in particular when you go and buy 11B worth of panels and installation stuff as one deal. Li-Ion battery technology cost is dropping and likely drop to less than half within next few years, in particular with volumes involved. If there is hydro or pump power plant possible, it will be vastly cheaper. The plant will take of about 7 * 8 km space for the panels, but any junk land will do, drier desert being the best. Wind is roughly comparable to solar, can be slightly better in terms of power factor if the site is on open sea. Unfortunately wind tends to prefer locations where people are located and complain about eyesore. Usually wind and solar work well together, sunny conditions tend to be somewhat opposite to windy conditions.
If we would make optimistic assumptions and expect panel and installation cost to go to 0.5 euro per W, and can use hydro or pump power for storage, we are looking at total cost of maybe 6B, which would already be below comparable nuclear plant cost. Likewise, if more of the power can be stored or used at peak times, for example, by smart charging of electric cars and running air conditioners to store the energy as heat or cold, we are much better off. For example, 1 M Nissan Leafs or 250 000 Tesla Model S's would do nicely. However, this will require beefier grid to transfer the power during peak production times as it effectively moves storage to consumption location.
The comparison is unfair if the nuke plant is intended for consumer power rather than industrial use, as building that expensive plant needs to be run at full tilt all the time to pay back the investment. If that is not the case, you will needs storage for nuke plant as well, for the opposite reason to solar. This would also make the costs closer to each other, as storage can be quite expensive, if no hydro is available.
Above comparison ignores cost of running the plant. For Nuclear, cost of uranium (etc) is relatively low. Likely larger costs would be insurance if nuclear plants would need to pay that, long term storage of waste, personnel. Currently nuclear plants do not have real insurance, and any disaster of any notable size comes from taxpayer's pocket, at least in European market. For solar, the panels need to be cleaned, and may need upgrading if we would be talking about similar operational life, say, 80 years. Upgrading might increase production, as we might have, within currently given warranties by panel producers (30 years), more efficient panel technology. If Li-Ion is used for storage, it will need replacing with current technology for maybe every 10-30 years. However, batteries can be recycled and within 10-30 years there is likely major technology and cost progress. It might also be possible to locate the plant so that we would get better than 3.5 power factor, again improving the competitiveness of solar production. I cannot estimate how much upgrade work a nuclear plant needs, likely replacement of turbines sometimes, worn out generators, etc.
The above nuclear plant projects have been commercial disasters for Areva, being 2.5 times over original budget already. It might be possible to build cheaper plants. For example, Russians have more cost effective plants, with some added perceived risk.
One factor I would think is important is that solar power can often be generated in the location of consumption. This avoids costs of grid expansion, and if battery systems are installed at the same time, it will increase energy reliability, as house could switch to battery power at any grid problem.