Well, let's see. 2.4 GHz would be the 40 millionth harmonic of 60Hz. Not too much energy up there.
The reason your television doesn't work well when your vacuum is on is that the vacuum motor's load seriously disrupts the AC power circuit in your house. The television's power supply is designed to turn fairly clean 60Hz power into DC at a couple of voltages. If you get crazy transients going from a heavy load, you're going to have ripple in your television's circuits.
If your television doesn't work when your next house neighbor uses his vacuum cleaner something is *seriously* wrong. The OP is talking about trouble that affects several houses, so it has to be something that originates in these microwave bands.