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A general-purpose operating system really seems inappropriate for 2kB of RAM. In that space I think it's all custom applications doing very specific things.

There are alternatives to C, people just need to search for them.

http://www.mikroe.com/mikropascal/pic/

http://www.mikroe.com/mikrobasic/pic/

With support for all really tiny CPUs out there. The language runtime does the OS role.

Just one possible example, there are other vendors.

or ChibiOS? http://www.chibios.org/

Maybe NuttX? http://www.nuttx.org

RIOT?

https://www.riot-os.org/

Contiki ?

FreeRTOS?

This doesn't provide any hardware abstraction, you rely on vendor libraries for portability.

2k? and alternative to C? Use forth or stick with assembly.

"TinyOS". It's on Github.