2 week old not wanting to sleep?

As much as I love my son I'm starting to get desperate due to sleep deprivation.

His stomach has been causing him some pain which I thought might be the cause of him being up all night (He's been a bit colicky), but he settles as soon as he's picked up, and he's wanting to feed every 5 minutes despite the stomach gurgles and gas.

During the day he's alert and awake for at least 4hrs at a time and doesn't seem to be in pain after feeds etc.

I'm not concerned he's ill but his cluster feeding is something else.

Is it normal to have this kind of behaviour at 2 weeks? I would've expected it with a baby teething, or if he was ill but I don't think it's either.

Any advice?