2k watts at an optimum 14.4v from an automobile is 139 amps. Some trucks come with an optional 140 amp alternator, but most vehicles come with alternators rated around 100 amps on average, and most vehicles I test are closer to 13.5 volts with a load which comes out to 1350 watts. Keep in mind that max alternator output is usually only available above about 1200 rpm's and the fact that the factory wiring is not sized for a constant load of that size. Add a second battery and I imagine you could get away with a load of that size for a few minutes, but if you're looking for constant power I would suggest a generator.
An alternate power source consisting of (4) deep cycle marine gel cells, 2 inverter's to split the load and a 4 battery smart charger. It stands alone from the house system. There are ways to access its power.
The system I put together for the storm shelter only has two batteries, I am jealous.
Here is a better pic, everything is 12 volts except for the 400w inverter.
It runs the fans and lights for the shelter, charging stations for phones, the off air HDTV, and a small radio.
I also ran the home land line out there.
Umm, yeah. Don't plan on using your car/inverter. If it becomes necessary, remove the alternator from the car and hook it via a belt, to a small engine, run it to a battery and hook the inverter to the battery. This is what an AC generator IS. Here are the basics...Building your own generator.
Bear in mind that an inverter will drain a battery pretty quickly and there are two types of inverters. Anecdotally, when I go to the salvage yard for parts I typically bring a grinder, a battery, and a 750w inverter. Most don't allow torches and hand saws and wrenches can be very time consuming, and I really like effing things up....I can usually get what I need with the charge in a single battery, but if I have to get a second part due to the first one being faulty, I often get stuck using hand tools about half way through...