2557747136 has 112 divisors (see below), whose sum is σ = 5924799936. Its totient is φ = 1072963584.

The previous prime is 2557747123. The next prime is 2557747139. The reversal of 2557747136 is 6317477552.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×2557747136³ (a number of 29 digits) contains 333 as substring.

Its product of digits (1234800) is a multiple of the sum of its prime factors (686).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2557747139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6442490 + ... + 6442886.

Almost surely, 2^2557747136 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 2557747136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962399968).

2557747136 is an abundant number, since it is smaller than the sum of its proper divisors (3367052800).

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

2557747136 is a wasteful number, since it uses less digits than its factorization.

2557747136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 676 counting only the distinct ones).

The product of its digits is 1234800, while the sum is 47.

The square root of 2557747136 is about 50574.1745953407. The cubic root of 2557747136 is about 1367.5793538146.

The spelling of 2557747136 in words is "two billion, five hundred fifty-seven million, seven hundred forty-seven thousand, one hundred thirty-six".