APart 2: a generalized Mathematica Apart function. The Mathematica function Apart has been generalized to any dimension in APart package [the author, ibid. 183, No. 10, 2158–2164 (2012; Zbl 1296.81007)], we upgrade this package to the 2nd version, in which the core part has been completely rewritten. The new version is more efficient than the 1st version of APart, and the output is now more compact and more suitable for the input for the FIRE [A. V. Smirnov, ibid. 189, 182–191 (2015; Zbl 06627028)] or FIESTA [A. V. Smirnov, “FIESTA 3: cluster-parallelizable multiloop numerical calculations in physical regions”, ibid. 185, No. 7, 2090–2100 (2014; doi:10.1016/j.cpc.2014.03.015)].