2557941617 has 16 divisors (see below), whose sum is σ = 3191121024. Its totient is φ = 1991952000.

The previous prime is 2557941577. The next prime is 2557941623. The reversal of 2557941617 is 7161497552.

It is a cyclic number.

It is not a de Polignac number, because 2557941617 - 2¹⁴ = 2557925233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2557941697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124517 + ... + 143597.

It is an arithmetic number, because the mean of its divisors is an integer number (199445064).

Almost surely, 2^2557941617 is an apocalyptic number.

It is an amenable number.

2557941617 is a deficient number, since it is larger than the sum of its proper divisors (633179407).

2557941617 is a wasteful number, since it uses less digits than its factorization.

2557941617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20840.

The product of its digits is 529200, while the sum is 47.

The square root of 2557941617 is about 50576.0972891345. The cubic root of 2557941617 is about 1367.6140147155.

The spelling of 2557941617 in words is "two billion, five hundred fifty-seven million, nine hundred forty-one thousand, six hundred seventeen".