Your math is incorrect. 10k at all times per person x 2.6 people per household x 24 hours x 365 days would be 228k kwh per year per household.

In fact it's 10-11k kwh per anum. Many developed nations use 5-7k and don't live greatly reduced lifestyles.

http://shrinkthatfootprint.com/average-household-electricity...

It's hard to calculate the exact size due to multiple factors but the following source says a 2 kw system can use as little as 150 Sq feet. In some places you could generate enough to power your house in 3 hours or an American house in 6.

Presumably solar and power storage will keep getting cheaper. https://us.sunpower.com/blog/2019/07/16/how-much-solar-power...