After the close encounter with Venus on December 14, 1962, the last radio contact was on January 3, 1963.
No tracking can be done after that as the spacecraft is too small and too far away.
The Mariner 2 project report gives the orbital parameters of the heliocentric orbit after the encounter. (page 69).
Perihelion 105 415 000 km, aphelion: 183 423 000 km
If we extend that orbit into the future, we get new close encounters with Venus within a distance ~2.5 million kilometres after 10 and 12 years. Potentially one at just 0.14 million kilometres after 23 years, if the orbital parameters stay the same.
But the orbital parameters aren't going to stay the same. After each new encounter with Venus, which by this time there has been several of, the error in the measurements grow exponentially. It is a butterfly effect were the new orbit after an encounter is very sensitive to uncertainty in the initial orbit.
So nobody knows, and nobody can know, were Mariner 2 is now, other than that it is orbiting the Sun with a period slightly below a year.