2251916832 has 96 divisors (see below), whose sum is σ = 6828058944. Its totient is φ = 642252800.

The previous prime is 2251916767. The next prime is 2251916851. The reversal of 2251916832 is 2386191522.

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

It is a super-2 number, since 2×2251916832² = 10142258836489832448, which contains 22 as substring.

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, 44769 + ... + 80672.

It is an arithmetic number, because the mean of its divisors is an integer number (71125614).

Almost surely, 2^2251916832 is an apocalyptic number.

2251916832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2251916832 is an abundant number, since it is smaller than the sum of its proper divisors (4576142112).

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

2251916832 is a wasteful number, since it uses less digits than its factorization.

2251916832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125482 (or 125474 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 2251916832 is about 47454.3657844039. The cubic root of 2251916832 is about 1310.7427041480.

The spelling of 2251916832 in words is "two billion, two hundred fifty-one million, nine hundred sixteen thousand, eight hundred thirty-two".