Hi Dave, I'll take a stab at this.... According to what I found on Southwire's web page, the wire should weigh approximately 592.8lbs. I hope someone else will come up with the same to help my ego.
Oops....That figure should be close, but there may be a small additional ammount for the reel (based on 1000' per reel) What do they way I wonder? Maybe subtract 80lbs or so.
According to Southwires literature, 4/0 AL XHHW has an approx weight of 247 lbs per 100 feet. Therefore if my math is correct, 2400 feet should weigh 592.8 lbs.