2582648805 has 48 divisors (see below), whose sum is σ = 4616704512. Its totient is φ = 1231612800.

The previous prime is 2582648797. The next prime is 2582648813. The reversal of 2582648805 is 5088462852.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2582648797) and next prime (2582648813).

It is not a de Polignac number, because 2582648805 - 2³ = 2582648797 is a prime.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 99052 + ... + 122378.

It is an arithmetic number, because the mean of its divisors is an integer number (96181344).

Almost surely, 2^2582648805 is an apocalyptic number.

It is an amenable number.

2582648805 is a deficient number, since it is larger than the sum of its proper divisors (2034055707).

2582648805 is a wasteful number, since it uses less digits than its factorization.

2582648805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23418 (or 23407 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 48.

The square root of 2582648805 is about 50819.7678566126. The cubic root of 2582648805 is about 1372.0031798256.

The spelling of 2582648805 in words is "two billion, five hundred eighty-two million, six hundred forty-eight thousand, eight hundred five".