Index Maintenance for varbinary
If you have a table with 1.9 billion rows, I'm guessing it has a fairly low change rate as a percentage. Check how many rows you're actually inserting/updating on a daily basis - it's likely less than 1%.

In that case, it doesn't make sense to reorganize the whole table every 2-3 days (especially given that it takes 10+ hours.) I'd start by only doing index maintenance weekly, if not MONTHLY on a table of that size.

Start by taking a step back and asking, "What's the problem I'm trying to solve by doing index reorganizations?" If the answer is slow select statements, then index maintenance on a 1.9bn row table isn't going to be the answer.