Reserve capacity is one part of the answer, but another part is charging rate? How many watts of solar will be available for charging this bank? With 1/8th of C ideal for traditional lead-acid, you should have had 1860Ah/8 = 233A of charging current. Is this really at 12V? What is your system voltage? I'm guessing that most likely you are not charging your batteries at an optimal charge rate.
In my opinion, 1860Ah, unless it is a whole-house system, is a symptom of poor design. If you need 1860Ah of storage capacity, how many parallel strings of batteries are you using to get that? Unless you are already at 48V, the first thing I would think is that you need to raise your system voltage? Could you please provide more details about your system?