2582438257 has 16 divisors (see below), whose sum is σ = 3116861440. Its totient is φ = 2090153808.

The previous prime is 2582438251. The next prime is 2582438263. The reversal of 2582438257 is 7528342852.

It is an interprime number because it is at equal distance from previous prime (2582438251) and next prime (2582438263).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2582438257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2582438251) 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, 9208 + ... + 72454.

It is an arithmetic number, because the mean of its divisors is an integer number (194803840).

Almost surely, 2^2582438257 is an apocalyptic number.

It is an amenable number.

2582438257 is a deficient number, since it is larger than the sum of its proper divisors (534423183).

2582438257 is a wasteful number, since it uses less digits than its factorization.

2582438257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63580.

The product of its digits is 1075200, while the sum is 46.

The square root of 2582438257 is about 50817.6962976481. The cubic root of 2582438257 is about 1371.9658950587.

The spelling of 2582438257 in words is "two billion, five hundred eighty-two million, four hundred thirty-eight thousand, two hundred fifty-seven".