2164136401 has 24 divisors (see below), whose sum is σ = 2697969600. Its totient is φ = 1726335072.

The previous prime is 2164136297. The next prime is 2164136411. The reversal of 2164136401 is 1046314612.

It is not a de Polignac number, because 2164136401 - 2⁹ = 2164135889 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2164136401.

It is not an unprimeable number, because it can be changed into a prime (2164136411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15750 + ... + 67648.

It is an arithmetic number, because the mean of its divisors is an integer number (112415400).

Almost surely, 2^2164136401 is an apocalyptic number.

It is an amenable number.

2164136401 is a deficient number, since it is larger than the sum of its proper divisors (533833199).

2164136401 is a wasteful number, since it uses less digits than its factorization.

2164136401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51973 (or 51966 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 2164136401 is about 46520.2794596077. The cubic root of 2164136401 is about 1293.4854365445.

The spelling of 2164136401 in words is "two billion, one hundred sixty-four million, one hundred thirty-six thousand, four hundred one".