2257751232 has 420 divisors, whose sum is σ = 7812459864. Its totient is φ = 639221760.

The previous prime is 2257751201. The next prime is 2257751233. The reversal of 2257751232 is 2321577522.

2257751232 is a `hidden beast` number, since 2 + 2 + 577 + 51 + 2 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2257751233) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 16479868 + ... + 16480004.

Almost surely, 2^2257751232 is an apocalyptic number.

2257751232 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 2257751232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906229932).

2257751232 is an abundant number, since it is smaller than the sum of its proper divisors (5554708632).

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

2257751232 is a wasteful number, since it uses less digits than its factorization.

2257751232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 170 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 2257751232 is about 47515.7998143775. The cubic root of 2257751232 is about 1311.8737113224.

The spelling of 2257751232 in words is "two billion, two hundred fifty-seven million, seven hundred fifty-one thousand, two hundred thirty-two".