I just played through the first box (cardboard) in Cut the Rope, aiming for the fastest times and therefore highest score. It seems like the absolute highest score you can get for a level is around 6,000 (I got just over 5,900 for essentially an 'instant solve').
So when I'd finished I amassed 139,800 points (avg ~5,600 per level). Imagine my surprise when I logged onto the game center only to find the top score for Cardboard Box is 2,298,946,210!!!
As far as I can tell, it only takes the highest score for each level, so playing through levels again doesn't keep adding to your score. Are all these users cheating in some way? Or is there another way to improve scores?