2538855757440 has 512 divisors, whose sum is σ = 9638339040000. Its totient is φ = 637197041664.

The previous prime is 2538855757363. The next prime is 2538855757441. The reversal of 2538855757440 is 447575588352.

2538855757440 is a `hidden beast` number, since 2 + 5 + 3 + 8 + 8 + 5 + 57 + 574 + 4 + 0 = 666.

It is a super-2 number, since 2×2538855757440² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2538855757441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23741211 + ... + 23847909.

Almost surely, 2^{2538855757440} is an apocalyptic number.

2538855757440 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 2538855757440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4819169520000).

2538855757440 is an abundant number, since it is smaller than the sum of its proper divisors (7099483282560).

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

2538855757440 is an equidigital number, since it uses as much as digits as its factorization.

2538855757440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106756 (or 106726 counting only the distinct ones).

The product of its (nonzero) digits is 188160000, while the sum is 63.

The spelling of 2538855757440 in words is "two trillion, five hundred thirty-eight billion, eight hundred fifty-five million, seven hundred fifty-seven thousand, four hundred forty".