2557823616 has 256 divisors, whose sum is σ = 7879132800. Its totient is φ = 816168960.

The previous prime is 2557823573. The next prime is 2557823623. The reversal of 2557823616 is 6163287552.

2557823616 is a `hidden beast` number, since 2 + 5 + 5 + 7 + 8 + 23 + 616 = 666.

Its product of digits (604800) is a multiple of the sum of its prime factors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10613256 + ... + 10613496.

Almost surely, 2^2557823616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2557823616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3939566400).

2557823616 is an abundant number, since it is smaller than the sum of its proper divisors (5321309184).

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

2557823616 is a wasteful number, since it uses less digits than its factorization.

2557823616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 366 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 2557823616 is about 50574.9307068235. The cubic root of 2557823616 is about 1367.5929844853.

It can be divided in two parts, 25578 and 23616, that added together give a palindrome (49194).

The spelling of 2557823616 in words is "two billion, five hundred fifty-seven million, eight hundred twenty-three thousand, six hundred sixteen".