2164923904 has 80 divisors (see below), whose sum is σ = 5082018480. Its totient is φ = 908328960.

The previous prime is 2164923889. The next prime is 2164923941. The reversal of 2164923904 is 4093294612.

It is a super-2 number, since 2×2164923904² = 9373791020221202432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58432 + ... + 88000.

It is an arithmetic number, because the mean of its divisors is an integer number (63525231).

Almost surely, 2^2164923904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164923904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541009240).

2164923904 is an abundant number, since it is smaller than the sum of its proper divisors (2917094576).

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

2164923904 is a wasteful number, since it uses less digits than its factorization.

2164923904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29611 (or 29595 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 2164923904 is about 46528.7427726131. The cubic root of 2164923904 is about 1293.6423120741.

The spelling of 2164923904 in words is "two billion, one hundred sixty-four million, nine hundred twenty-three thousand, nine hundred four".