2164065600 has 84 divisors (see below), whose sum is σ = 7099954304. Its totient is φ = 577082880.

The previous prime is 2164065559. The next prime is 2164065623. The reversal of 2164065600 is 65604612.

It is a super-2 number, since 2×2164065600² = 9366359842206720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220624 + ... + 230223.

Almost surely, 2^2164065600 is an apocalyptic number.

2164065600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2164065600 is an abundant number, since it is smaller than the sum of its proper divisors (4935888704).

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

2164065600 is a wasteful number, since it uses less digits than its factorization.

2164065600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450872 (or 450857 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2164065600 is about 46519.5184841804. The cubic root of 2164065600 is about 1293.4713306775.

The spelling of 2164065600 in words is "two billion, one hundred sixty-four million, sixty-five thousand, six hundred".