2117620267112 has 32 divisors (see below), whose sum is σ = 4545622182720. Its totient is φ = 905978649600.

The previous prime is 2117620267093. The next prime is 2117620267153.

It is a happy number.

2117620267112 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32736014 + ... + 32800637.

It is an arithmetic number, because the mean of its divisors is an integer number (142050693210).

Almost surely, 2^{2117620267112} is an apocalyptic number.

It is an amenable number.

2117620267112 is an abundant number, since it is smaller than the sum of its proper divisors (2428001915608).

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

2117620267112 is a wasteful number, since it uses less digits than its factorization.

2117620267112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65537241 (or 65537237 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The spelling of 2117620267112 in words is "two trillion, one hundred seventeen billion, six hundred twenty million, two hundred sixty-seven thousand, one hundred twelve".