"Run 2" was remixed by Scott Litt from the version on Technique, hence the appendage of "2" to the title. The main difference is that the song has been made more radio-friendly by editing down most of the long instrumental run-out and appending it with a final repeat of the chorus. Litt's mix strips back much of the echo and layers of synthesizers, and in place centres the mix on Sumner's vocal and the bass guitar of Peter Hook. Despite the effort taken to produce a radio single, only 20,000 of the Factory12" release were ever pressed. 500 7-inch records were also pressed, for promotional use. The single was only released in the UK.
John Denver's publishing company filed a lawsuit, alleging that the guitar break in "Run" too closely resembled Denver's "Leaving on a Jet Plane". The case was settled out of court. The song has since been credited to New Order and John Denver.
"Run 2" is backed with the B-side titled "Open Your Mind". This song recycles the line "You've got love technique" from the group's previous hit single "Fine Time" (this is the only lyric in the track). An extended mix of "Run 2" with additional beats by Afrika Islam and an alternate 'minus' mix of "Open Your Mind" by Mike 'Hitman' Wilson appear as B-sides on the 12" version of the single.
Peter Saville, the single's cover designer, claimed to have been inspired by the design of laundry powder packaging. The tiny print on the back of the sleeve says, "Cover by Peter Saville Associates after Bold."