2556751339296 has 768 divisors, whose sum is σ = 9608772096000. Its totient is φ = 642152448000.

The previous prime is 2556751339291. The next prime is 2556751339309. The reversal of 2556751339296 is 6929331576552.

2556751339296 is a `hidden beast` number, since 2 + 5 + 5 + 6 + 7 + 5 + 1 + 339 + 296 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2556751339291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 288926680 + ... + 288935528.

It is an arithmetic number, because the mean of its divisors is an integer number (12511422000).

Almost surely, 2^{2556751339296} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2556751339296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4804386048000).

2556751339296 is an abundant number, since it is smaller than the sum of its proper divisors (7052020756704).

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

2556751339296 is a wasteful number, since it uses less digits than its factorization.

2556751339296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9030 (or 9016 counting only the distinct ones).

The product of its digits is 91854000, while the sum is 63.

The spelling of 2556751339296 in words is "two trillion, five hundred fifty-six billion, seven hundred fifty-one million, three hundred thirty-nine thousand, two hundred ninety-six".