French Montana -- Ain't Worried 'Bout Nothin ... Finally Divorced

French Montana was banging Khloe Kardashian and Trina while he was still married, technically ... so imagine how the dude's gonna go off now that his divorce is final.

Nadeen Kharbouch filed to divorce French more than 2 years ago in NJ -- citing irreconcilable differences -- and a judge just put a fork in it this week ... according to court docs obtained by TMZ.

Sources close to French tell us the divorce dragged on so long because they were battling over custody of their 4-year-old son. We're told they finally hammered out a plan that gives French the ability to see his son whenever he wants -- and the exes are now on good terms.

Our source also says reports FM shelled out $2 mil to Nadeen are over blown.