Power Supply Question

First off this site is awesome, tons of great information and people willing to help, I'm trying to stay away from the generator route and looking to run a vc4000c 1800watt 15amp, PC 7424xp and wet vac via power inverter and marine batteries. So question is what size power inverter and how many batteries will I need. :dunno:Thanks in advance

reasoning for avoiding generator is the fumes I'm using a suburban and with 2 little ones trying to keep them safe and healthy