Wakes up every 2 hours at night...help!

My baby wakes up at least every 2 hours, sometimes 1 hour every night! He won't take a binky, only wants to eat. Sometimes he'll eat 4 oz, other times only 1. I'm exclusively pumping so I just have a bottle out ready for him at room temp and I pump once in the middle of the night. I'm exhausted and need some suggestions.