2557742817 has 24 divisors (see below), whose sum is σ = 4175911200. Its totient is φ = 1384641216.

The previous prime is 2557742801. The next prime is 2557742819. The reversal of 2557742817 is 7182477552.

It is not a de Polignac number, because 2557742817 - 2⁴ = 2557742801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2557742819) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 455092 + ... + 460677.

It is an arithmetic number, because the mean of its divisors is an integer number (173996300).

Almost surely, 2^2557742817 is an apocalyptic number.

It is an amenable number.

2557742817 is a deficient number, since it is larger than the sum of its proper divisors (1618168383).

2557742817 is a wasteful number, since it uses less digits than its factorization.

2557742817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915805 (or 915798 counting only the distinct ones).

The product of its digits is 1097600, while the sum is 48.

The square root of 2557742817 is about 50574.1318956638. The cubic root of 2557742817 is about 1367.5785840515.

The spelling of 2557742817 in words is "two billion, five hundred fifty-seven million, seven hundred forty-two thousand, eight hundred seventeen".