2903091972 has 96 divisors (see below), whose sum is σ = 7839296640. Its totient is φ = 826398720.

The previous prime is 2903091967. The next prime is 2903092033. The reversal of 2903091972 is 2791903092.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1697854 + ... + 1699562.

It is an arithmetic number, because the mean of its divisors is an integer number (81659340).

Almost surely, 2^2903091972 is an apocalyptic number.

2903091972 is a gapful number since it is divisible by the number (22) 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 2903091972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919648320).

2903091972 is an abundant number, since it is smaller than the sum of its proper divisors (4936204668).

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

2903091972 is a wasteful number, since it uses less digits than its factorization.

2903091972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 2903091972 is about 53880.3486625690. The cubic root of 2903091972 is about 1426.5497815508.

The spelling of 2903091972 in words is "two billion, nine hundred three million, ninety-one thousand, nine hundred seventy-two".