2164100616 has 24 divisors (see below), whose sum is σ = 5861106030. Its totient is φ = 721366848.

The previous prime is 2164100597. The next prime is 2164100621. The reversal of 2164100616 is 6160014612.

2164100616 is a `hidden beast` number, since 2 + 1 + 6 + 41 + 0 + 0 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2159460900 + 4639716 = 46470^2 + 2154^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2164100616.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15028405 + ... + 15028548.

Almost surely, 2^2164100616 is an apocalyptic number.

It is an amenable number.

2164100616 is an abundant number, since it is smaller than the sum of its proper divisors (3697005414).

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

2164100616 is a wasteful number, since it uses less digits than its factorization.

2164100616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30056965 (or 30056958 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2164100616 is about 46519.8948408098. The cubic root of 2164100616 is about 1293.4783070445.

The spelling of 2164100616 in words is "two billion, one hundred sixty-four million, one hundred thousand, six hundred sixteen".