2557298688 has 192 divisors, whose sum is σ = 7884938880. Its totient is φ = 721944576.

The previous prime is 2557298683. The next prime is 2557298693. The reversal of 2557298688 is 8868927552.

It is an interprime number because it is at equal distance from previous prime (2557298683) and next prime (2557298693).

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (2557298683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4171470 + ... + 4172082.

It is an arithmetic number, because the mean of its divisors is an integer number (41067390).

Almost surely, 2^2557298688 is an apocalyptic number.

2557298688 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 2557298688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3942469440).

2557298688 is an abundant number, since it is smaller than the sum of its proper divisors (5327640192).

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

2557298688 is an equidigital number, since it uses as much as digits as its factorization.

2557298688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 722 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 60.

The square root of 2557298688 is about 50569.7408338227. The cubic root of 2557298688 is about 1367.4994235688.

The spelling of 2557298688 in words is "two billion, five hundred fifty-seven million, two hundred ninety-eight thousand, six hundred eighty-eight".