That doesn't quite make sense.
Assuming you have a 3.5 digit multimeter, when you set it to the 2 kΩ range, it shows a value between 0Ω and 1999Ω, with no decimal point. It could indicate 565, without the decimal point, i.e. 565Ω, in which case the resistor may be supposed to be 560Ω.
On the 2...