2257837440 has 256 divisors, whose sum is σ = 7418174400. Its totient is φ = 583925760.

The previous prime is 2257837433. The next prime is 2257837441. The reversal of 2257837440 is 447387522.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2257837392 and 2257837401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257837441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12474150 + ... + 12474330.

Almost surely, 2^2257837440 is an apocalyptic number.

2257837440 is a gapful number since it is divisible by the number (20) 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 2257837440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709087200).

2257837440 is an abundant number, since it is smaller than the sum of its proper divisors (5160336960).

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

2257837440 is a wasteful number, since it uses less digits than its factorization.

2257837440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The square root of 2257837440 is about 47516.7069566063. The cubic root of 2257837440 is about 1311.8904082563.

The spelling of 2257837440 in words is "two billion, two hundred fifty-seven million, eight hundred thirty-seven thousand, four hundred forty".