2164401792 has 96 divisors (see below), whose sum is σ = 7118074080. Its totient is φ = 618398208.

The previous prime is 2164401791. The next prime is 2164401871. The reversal of 2164401792 is 2971044612.

It is a happy number.

2164401792 is a `hidden beast` number, since 2 + 1 + 644 + 0 + 1 + 7 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2164401792² = 9369270234425622528, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164401791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126138 + ... + 142265.

It is an arithmetic number, because the mean of its divisors is an integer number (74146605).

Almost surely, 2^2164401792 is an apocalyptic number.

It is an amenable number.

2164401792 is an abundant number, since it is smaller than the sum of its proper divisors (4953672288).

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

2164401792 is a wasteful number, since it uses less digits than its factorization.

2164401792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268430 (or 268415 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2164401792 is about 46523.1317948394. The cubic root of 2164401792 is about 1293.5383083447.

The spelling of 2164401792 in words is "two billion, one hundred sixty-four million, four hundred one thousand, seven hundred ninety-two".