2557859616 has 108 divisors (see below), whose sum is σ = 7876635858. Its totient is φ = 787018752.

The previous prime is 2557859609. The next prime is 2557859669. The reversal of 2557859616 is 6169587552.

2557859616 is a `hidden beast` number, since 2 + 5 + 578 + 5 + 9 + 61 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1902704400 + 655155216 = 43620^2 + 25596^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22396 + ... + 74948.

Almost surely, 2^2557859616 is an apocalyptic number.

2557859616 is a gapful number since it is divisible by the number (26) 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 2557859616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3938317929).

2557859616 is an abundant number, since it is smaller than the sum of its proper divisors (5318776242).

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

2557859616 is a wasteful number, since it uses less digits than its factorization.

2557859616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52595 (or 52571 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 54.

The square root of 2557859616 is about 50575.2866131276. The cubic root of 2557859616 is about 1367.5994005019.

The spelling of 2557859616 in words is "two billion, five hundred fifty-seven million, eight hundred fifty-nine thousand, six hundred sixteen".