Bring toddler to the hospital?

Has anyone ever had their toddler (2 years old in our case) stay with them at the hospital after baby #2 was born?

We are in an area with no family and our friends aren't able to help us out.

We are trying to figure out if it's realistic to think our 2 year old could sleep there with us, or if my husband should just go home every night with him.