A year of ML ser vice is 172 days, so he can be on your ML roster for 24 days (up to 2.171).
Sounds like he's really a AAAA guy, so playing the "arb game" probably is not really buying you much if any value. My experience with these types of players (I don't know who you're particular guy is, so obviously your milage may vary) is that they often will have minimal arb demands ($360k).