2557117552 has 80 divisors (see below), whose sum is σ = 5695492608. Its totient is φ = 1100816640.

The previous prime is 2557117547. The next prime is 2557117559.

It is a happy number.

2557117552 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2557117559) 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, 413878 + ... + 420010.

Almost surely, 2^2557117552 is an apocalyptic number.

2557117552 is a gapful number since it is divisible by the number (22) 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 2557117552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2847746304).

2557117552 is an abundant number, since it is smaller than the sum of its proper divisors (3138375056).

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

2557117552 is a wasteful number, since it uses less digits than its factorization.

2557117552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6278 (or 6272 counting only the distinct ones).

The product of its digits is 122500, while the sum is 40.

The square root of 2557117552 is about 50567.9498496825. The cubic root of 2557117552 is about 1367.4671356934.

The spelling of 2557117552 in words is "two billion, five hundred fifty-seven million, one hundred seventeen thousand, five hundred fifty-two".