2557949248512 has 880 divisors, whose sum is σ = 9102200025600. Its totient is φ = 714918887424.

The previous prime is 2557949248507. The next prime is 2557949248541. The reversal of 2557949248512 is 2158429497552.

2557949248512 is a `hidden beast` number, since 2 + 5 + 5 + 7 + 94 + 9 + 24 + 8 + 512 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2557949248512.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1337139268 + ... + 1337141180.

It is an arithmetic number, because the mean of its divisors is an integer number (10343409120).

Almost surely, 2^{2557949248512} 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 2557949248512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4551100012800).

2557949248512 is an abundant number, since it is smaller than the sum of its proper divisors (6544250777088).

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

2557949248512 is an equidigital number, since it uses as much as digits as its factorization.

2557949248512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013 (or 1972 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 63.

The spelling of 2557949248512 in words is "two trillion, five hundred fifty-seven billion, nine hundred forty-nine million, two hundred forty-eight thousand, five hundred twelve".