It's about 6000 Tesla Megapacks [1] for the entire US, roughly 20 square miles of land use.
"Using Megapack, Tesla can deploy an emissions-free 250 MW, 1 GWh power plant in less than three months on a three-acre footprint – four times faster than a traditional fossil fuel power plant of that size. Megapack can also be DC-connected directly to solar, creating seamless renewable energy plants."
We need more Gigafactories (regardless of manufacturer/owner), which needs demand to be proven (contracts with utilities), which allows for more capital to be acquired from capital markets to build more battery factories. Batteries are a known quantity though, versus nuclear where you can spend billions and a decade and still not produce a kWh of power.
Tesla built Gigafactory 3 in Shanghai in 190 days, from breaking ground to manufacturing validation of a Model 3. These are tractable problems.
[1] https://www.tesla.com/blog/introducing-megapack-utility-scal...