My son keeps smearing his poop all over his room and it is driving us crazy. What can we do?

When my two-year-old son wakes up in the morning or wakes up from a nap, and he has feces in his diaper, he’ll proceed to wipe it on the walls, to push it into the carpet, and to cover his toys and clothes. It has become almost a daily occurrence. We’ve tried explaining things to him, rewarding him, punishing him, etc. and nothing seems to have any effect. He is a smart kid and reasonably (for a two-year-old) obedient in every other aspect. We are baffled.