2557653840 has 640 divisors, whose sum is σ = 10999296000. Its totient is φ = 532998144.

The previous prime is 2557653809. The next prime is 2557653877. The reversal of 2557653840 is 483567552.

2557653840 is a `hidden beast` number, since 2 + 5 + 5 + 76 + 538 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 8330967 + ... + 8331273.

It is an arithmetic number, because the mean of its divisors is an integer number (17186400).

Almost surely, 2^2557653840 is an apocalyptic number.

2557653840 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 2557653840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5499648000).

2557653840 is an abundant number, since it is smaller than the sum of its proper divisors (8441642160).

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

2557653840 is a wasteful number, since it uses less digits than its factorization.

2557653840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 2557653840 is about 50573.2522189349. The cubic root of 2557653840 is about 1367.5627257395.

The spelling of 2557653840 in words is "two billion, five hundred fifty-seven million, six hundred fifty-three thousand, eight hundred forty".