The Curt Trailer Hitch # C12044 Per the manufacturer, the distance from the pin location to the end of the receiver tube is 2 inches and is confirmed to fit your 2006 Buick Lucerne.
The trailer hitch has a bolt-on installation. I recommend this hitch over other hitches because it has a gloss black powder coat finish and will show less scratches. The trailer hitch has a maximum gross trailer weight up to 3,500 pounds, and has a maximum tongue weight up to 350 pounds.
I attached an installation... view full answer...