2164676616 has 64 divisors (see below), whose sum is σ = 6016819200. Its totient is φ = 721099584.

The previous prime is 2164676611. The next prime is 2164676617. The reversal of 2164676616 is 6166764612.

2164676616 is a `hidden beast` number, since 21 + 6 + 4 + 6 + 7 + 6 + 616 = 666.

It is a super-2 number, since 2×2164676616² = 9371649703714422912, which contains 22 as substring.

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (2164676611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 602361 + ... + 605943.

It is an arithmetic number, because the mean of its divisors is an integer number (94012800).

Almost surely, 2^2164676616 is an apocalyptic number.

It is an amenable number.

2164676616 is an abundant number, since it is smaller than the sum of its proper divisors (3852142584).

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

2164676616 is a wasteful number, since it uses less digits than its factorization.

2164676616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6395 (or 6385 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 2164676616 is about 46526.0853285552. The cubic root of 2164676616 is about 1293.5930548538.

The spelling of 2164676616 in words is "two billion, one hundred sixty-four million, six hundred seventy-six thousand, six hundred sixteen".