2501921904 has 80 divisors (see below), whose sum is σ = 6638682240. Its totient is φ = 811628800.

The previous prime is 2501921861. The next prime is 2501921911. The reversal of 2501921904 is 4091291052.

It is a super-2 number, since 2×2501921904² = 12519226427429970432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281659 + ... + 290405.

It is an arithmetic number, because the mean of its divisors is an integer number (82983528).

Almost surely, 2^2501921904 is an apocalyptic number.

2501921904 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 2501921904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319341120).

2501921904 is an abundant number, since it is smaller than the sum of its proper divisors (4136760336).

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

2501921904 is a wasteful number, since it uses less digits than its factorization.

2501921904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8918 (or 8912 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 2501921904 is about 50019.2153477041. The cubic root of 2501921904 is about 1357.5565092180.

The spelling of 2501921904 in words is "two billion, five hundred one million, nine hundred twenty-one thousand, nine hundred four".