While waiting for AK's answer...the old sparktrician in me spit out "depends..."
Math on how much is too much: By National electric code, 10 receptacles can be on 1 circuit. The receptacle requires 12gauge wire, which mandates a 20amp breaker. Volt X amp = watt. 2000 watt divided by 120volt is 16.66 amps. So it COULD handle it safely without tripping.
If anything else pulling a decent amount of juice is plugged into any of the other 9 receptacles, or the other half of the duplex he is probably using: that could cause issues for anyone. Plugging into a different receptacle on the same circuit breaker helps nothing. Lifespan of breakers is 10 "trips".
Keep in mind a heavy gauge extension cord as short as possible will help you with your high wattage heaters. The longer the cord the more voltage drop, so the less available draw.
Safety Sally time-
Also smaller (IMO should be illegal) than 12 gauge cord will exasperate any problems. It is illegal to use smaller wire in any structure to carry the load so don't do it where the wire is more likely to be damaged and cause injury or death. $10- $20 more for a good cord not worth you or your family's life? Need 20 cords? 20x$20= $400 worth of insurance and longer cord life. Remember heat and sunlight kills cords fast. And any extension cord smaller than 20 awg is not permitted to be repaired by OSHA, so what does that tell you..
I'm quite sure AK knows this, he is el-builder-o extraordinaire, just throwing out there for others that will read.
Now back to your regular programming...