2164680072 has 64 divisors (see below), whose sum is σ = 6080616000. Its totient is φ = 713446272.

The previous prime is 2164680053. The next prime is 2164680083. The reversal of 2164680072 is 2700864612.

2164680072 is a `hidden beast` number, since 2 + 1 + 646 + 8 + 0 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×2164680072² = 9371679628227850368, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37078 + ... + 75525.

It is an arithmetic number, because the mean of its divisors is an integer number (95009625).

Almost surely, 2^2164680072 is an apocalyptic number.

It is an amenable number.

2164680072 is an abundant number, since it is smaller than the sum of its proper divisors (3915935928).

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

2164680072 is a wasteful number, since it uses less digits than its factorization.

2164680072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112707 (or 112697 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2164680072 is about 46526.1224689958. The cubic root of 2164680072 is about 1293.5937432792.

The spelling of 2164680072 in words is "two billion, one hundred sixty-four million, six hundred eighty thousand, seventy-two".