2557056768 has 288 divisors, whose sum is σ = 8418009600. Its totient is φ = 686407680.

The previous prime is 2557056767. The next prime is 2557056769. The reversal of 2557056768 is 8676507552.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2557056767) and next prime (2557056769).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 2557056768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2557056767) 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, 4477923 + ... + 4478493.

It is an arithmetic number, because the mean of its divisors is an integer number (29229200).

Almost surely, 2^2557056768 is an apocalyptic number.

2557056768 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 2557056768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4209004800).

2557056768 is an abundant number, since it is smaller than the sum of its proper divisors (5860952832).

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

2557056768 is an equidigital number, since it uses as much as digits as its factorization.

2557056768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 51.

The square root of 2557056768 is about 50567.3488330167. The cubic root of 2557056768 is about 1367.4563004751.

The spelling of 2557056768 in words is "two billion, five hundred fifty-seven million, fifty-six thousand, seven hundred sixty-eight".