2557777552 has 20 divisors (see below), whose sum is σ = 5406212016. Its totient is φ = 1162626080.

The previous prime is 2557777513. The next prime is 2557777591.

2557777552 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2557777513) and next prime (2557777591).

It is a super-2 number, since 2×2557777552² = 13084452011030225408, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2557777552.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7266238 + ... + 7266589.

Almost surely, 2^2557777552 is an apocalyptic number.

2557777552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2557777552 is an abundant number, since it is smaller than the sum of its proper divisors (2848434464).

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

2557777552 is a wasteful number, since it uses less digits than its factorization.

2557777552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14532846 (or 14532840 counting only the distinct ones).

The product of its digits is 6002500, while the sum is 52.

The square root of 2557777552 is about 50574.4753012822. The cubic root of 2557777552 is about 1367.5847747478.

The spelling of 2557777552 in words is "two billion, five hundred fifty-seven million, seven hundred seventy-seven thousand, five hundred fifty-two".