No, the energy density is not all that unusual. Assuming the battery is 2000AH and is 100% efficient, the "2000 times more powerful" means you can (theoretical

No, the energy density is not all that unusual. Assuming the battery is 2000AH and is 100% efficient, the "2000 times more powerful" means you can (theoretically!) discharge it 2000 times faster than the benchmark battery (e.g. 2000A over 1 hour vs. 1A over 2000 hours). The 1000x recharge rate means you can put the energy back in 1000x faster than the benchmark battery (e.g. 1000A x 2 hours vs. 1A x 2000 hours). Due to the energy density being comparable, I would expect the actual size of a 2000AH New Improved[tm] lithium-ion battery would be comparable to the size of a traditional 2000AH "benchmark" battery. Disclaimer: All the numbers made up out of thin air using values that were easy to do in my head.