2556104398848 has 2304 divisors, whose sum is σ = 10577632665600. Its totient is φ = 573308928000.

The previous prime is 2556104398751. The next prime is 2556104398871. The reversal of 2556104398848 is 8488934016552.

2556104398848 is a `hidden beast` number, since 2 + 5 + 5 + 610 + 4 + 3 + 9 + 8 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23450499018 + ... + 23450499126.

It is an arithmetic number, because the mean of its divisors is an integer number (4590986400).

Almost surely, 2^{2556104398848} is an apocalyptic number.

2556104398848 is a gapful number since it is divisible by the number (28) 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 2556104398848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5288816332800).

2556104398848 is an abundant number, since it is smaller than the sum of its proper divisors (8021528266752).

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

2556104398848 is a wasteful number, since it uses less digits than its factorization.

2556104398848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 2556104398848 in words is "two trillion, five hundred fifty-six billion, one hundred four million, three hundred ninety-eight thousand, eight hundred forty-eight".