2120635872 has 36 divisors (see below), whose sum is σ = 6030559080. Its totient is φ = 706878528.

The previous prime is 2120635843. The next prime is 2120635897. The reversal of 2120635872 is 2785360212.

2120635872 is a `hidden beast` number, since 2 + 12 + 0 + 63 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2120635872² = 8994193003226400768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 3681372 + ... + 3681947.

It is an arithmetic number, because the mean of its divisors is an integer number (167515530).

Almost surely, 2^2120635872 is an apocalyptic number.

It is an amenable number.

2120635872 is an abundant number, since it is smaller than the sum of its proper divisors (3909923208).

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

2120635872 is a wasteful number, since it uses less digits than its factorization.

2120635872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7363335 (or 7363324 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2120635872 is about 46050.3623438513. The cubic root of 2120635872 is about 1284.7600821850.

The spelling of 2120635872 in words is "two billion, one hundred twenty million, six hundred thirty-five thousand, eight hundred seventy-two".