2557210656 has 576 divisors, whose sum is σ = 9562613760. Its totient is φ = 579870720.

The previous prime is 2557210603. The next prime is 2557210657. The reversal of 2557210656 is 6560127552.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2557210657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28732660 + ... + 28732748.

It is an arithmetic number, because the mean of its divisors is an integer number (16601760).

Almost surely, 2^2557210656 is an apocalyptic number.

2557210656 is a gapful number since it is divisible by the number (26) 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 2557210656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4781306880).

2557210656 is an abundant number, since it is smaller than the sum of its proper divisors (7005403104).

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

2557210656 is a wasteful number, since it uses less digits than its factorization.

2557210656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 2557210656 is about 50568.8704244024. The cubic root of 2557210656 is about 1367.4837318689.

The spelling of 2557210656 in words is "two billion, five hundred fifty-seven million, two hundred ten thousand, six hundred fifty-six".