2164373904 has 640 divisors, whose sum is σ = 8142336000. Its totient is φ = 487710720.

The previous prime is 2164373843. The next prime is 2164373909. The reversal of 2164373904 is 4093734612.

It is not an unprimeable number, because it can be changed into a prime (2164373909) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58496574 + ... + 58496610.

It is an arithmetic number, because the mean of its divisors is an integer number (12722400).

Almost surely, 2^2164373904 is an apocalyptic number.

2164373904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164373904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071168000).

2164373904 is an abundant number, since it is smaller than the sum of its proper divisors (5977962096).

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

2164373904 is a wasteful number, since it uses less digits than its factorization.

2164373904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 2164373904 is about 46522.8320720052. The cubic root of 2164373904 is about 1293.5327526370.

The spelling of 2164373904 in words is "two billion, one hundred sixty-four million, three hundred seventy-three thousand, nine hundred four".