I want to replace my µR180, µR1800, and µR20000 with the DX2000, but are the dimensions the same?

Yes, the µR series panel cutout dimensions are the same as those of the DX2000, so you can replace them easily.

Button Operated DX1000/DX2000

The Daqstation DX1000/2000 series is a data acquisition system with display. Its HMI supports custom graphics for industry applications, audit trail and advanced security conforming to FDA 21CFR Part 11.
µR10000 & µR20000

The μR series are the compact industrial recorders with the recording widths of 100 mm (μR10000) and 180 mm (μR20000). Measured data can be saved to an SD memory card while recording on chart paper.
µR180 Industrial Recorders

Model Names: 4171, 4172, 4173, 4176, 4177, 4178 and 4179
µR1800 Industrial Recorders

Model Names: 437001, 437002, 437003, 437004, 437006, 437012, 437018 and 437024