Just get a boxful of 2.4 K 5% resistors and check them with a DMM. You should find one that is pretty close.
I doubt it! When you have a batch of resistors they are usually very close in value to each other - the manufacturing process is set up to make uniform devices. You'd need to sample from a genuinely random sample to guarantee a good spread.
The standard way to get an accurate value is use a 1% or better resistor for the bulk of the resistance and a small trim resistance in series. For accuracy you need accurate values AND a low temperature-coefficient. 5% resistors might not have the low temp-co.