2557457760 has 768 divisors, whose sum is σ = 10424816640. Its totient is φ = 517570560.

The previous prime is 2557457759. The next prime is 2557457827. The reversal of 2557457760 is 677547552.

2557457760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48253894 + ... + 48253946.

It is an arithmetic number, because the mean of its divisors is an integer number (13573980).

Almost surely, 2^2557457760 is an apocalyptic number.

2557457760 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 2557457760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5212408320).

2557457760 is an abundant number, since it is smaller than the sum of its proper divisors (7867358880).

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

2557457760 is a wasteful number, since it uses less digits than its factorization.

2557457760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2058000, while the sum is 48.

The square root of 2557457760 is about 50571.3136076175. The cubic root of 2557457760 is about 1367.5277772321.

The spelling of 2557457760 in words is "two billion, five hundred fifty-seven million, four hundred fifty-seven thousand, seven hundred sixty".