2557182880 has 192 divisors, whose sum is σ = 7208974080. Its totient is φ = 838656000.

The previous prime is 2557182871. The next prime is 2557182889. The reversal of 2557182880 is 882817552.

It is an interprime number because it is at equal distance from previous prime (2557182871) and next prime (2557182889).

It is a self number, because there is not a number n which added to its sum of digits gives 2557182880.

It is not an unprimeable number, because it can be changed into a prime (2557182889) 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 31 ways as a sum of consecutive naturals, for example, 4254580 + ... + 4255180.

It is an arithmetic number, because the mean of its divisors is an integer number (37546740).

Almost surely, 2^2557182880 is an apocalyptic number.

2557182880 is a gapful number since it is divisible by the number (20) 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 2557182880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3604487040).

2557182880 is an abundant number, since it is smaller than the sum of its proper divisors (4651791200).

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

2557182880 is a wasteful number, since it uses less digits than its factorization.

2557182880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 46.

The square root of 2557182880 is about 50568.5957882953. The cubic root of 2557182880 is about 1367.4787807235.

The spelling of 2557182880 in words is "two billion, five hundred fifty-seven million, one hundred eighty-two thousand, eight hundred eighty".