2120116072164 has 24 divisors (see below), whose sum is σ = 4947259726080. Its totient is φ = 706659325344.

The previous prime is 2120116072117. The next prime is 2120116072181. The reversal of 2120116072164 is 4612706110212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5561844 + ... + 5930795.

It is an arithmetic number, because the mean of its divisors is an integer number (206135821920).

Almost surely, 2^{2120116072164} is an apocalyptic number.

It is an amenable number.

2120116072164 is an abundant number, since it is smaller than the sum of its proper divisors (2827143653916).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2120116072164 is a wasteful number, since it uses less digits than its factorization.

2120116072164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11508019 (or 11508017 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 2120116072164 in words is "two trillion, one hundred twenty billion, one hundred sixteen million, seventy-two thousand, one hundred sixty-four".