They can, but for not long periods of time.
They are rated 600 for a reason.
Also, there are other factors to being able to handle that much power. Box size is the main one.
Honestly, I don't think you will gain much SPL, cause of power compression and such.
Plus with 2000+rms, its possible you will have to upgrade your electrical. I'm not sure what all you have now, but if its stock, upgrades are probably in order.
Just my opinion. I honestly don't think its worth it.