Is there a way I can download Galciv2 on another computer?

I just got a better computer and I've bought Galciv2, but I want to know if stardock has the code numbers to play the game. I bought it, no doubt about it, but I wanted to know if I could go to stardock.com and find the codes to play the game, or if I would have to dig out the old DA and DL CD's out of my closet. (Which I fear I will have to do.)