2257498944 has 224 divisors, whose sum is σ = 7022592000. Its totient is φ = 709682688.

The previous prime is 2257498937. The next prime is 2257498949. The reversal of 2257498944 is 4498947522.

It is a happy number.

2257498944 is a `hidden beast` number, since 22 + 574 + 9 + 8 + 9 + 44 = 666.

It is a super-2 number, since 2×2257498944² = 10192602964322230272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257498949) by changing a digit.

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, 3139417 + ... + 3140135.

Almost surely, 2^2257498944 is an apocalyptic number.

2257498944 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 2257498944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3511296000).

2257498944 is an abundant number, since it is smaller than the sum of its proper divisors (4765093056).

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

2257498944 is a wasteful number, since it uses less digits than its factorization.

2257498944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 826 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 2257498944 is about 47513.1449601055. The cubic root of 2257498944 is about 1311.8248452473.

The spelling of 2257498944 in words is "two billion, two hundred fifty-seven million, four hundred ninety-eight thousand, nine hundred forty-four".