The manufacturer of your inverter should be able to provide you with specifics for your unit - they probably have a website or customer service number to get that information.
My experience with higher power inverters (1000-4000 watt) is the power / ground wires should be no longer than 6 feet long, and preferably 3 feet or less. You should use the largest gauge that will fit the connectors on the inverter - likely 4 gauge cable, or 2 gauge if you run a longer cable. Additionally, most inverter manufacturers recommend multiple batteries to support the load required by the inverter - otherwise, you can expect reduced performance from the unit.