Paul wrote 2 Timothy from prison around 65 or 66 A.D.
The letter is addressed to Paul’s long-time colleague in ministry, Timothy, who is currently overseeing the church in Ephesus. Paul is waiting for his final trial to be held and expects the outcome will be condemnation to death. He wants Timothy to come to him soon before winter and bring him his cloak and parchments (2 Tim. 4:13, 21).
There is less debate about Paul’s authorship of 2 Timothy than 1 Timothy, but just like 1 Timothy from the late first century through the mid 1700’s the consensus of the church was that Paul actually wrote it.