2506292085 has 64 divisors (see below), whose sum is σ = 4541184000. Its totient is φ = 1169199360.

The previous prime is 2506292053. The next prime is 2506292149. The reversal of 2506292085 is 5802926052.

It is not a de Polignac number, because 2506292085 - 2⁵ = 2506292053 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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1717086 + ... + 1718544.

It is an arithmetic number, because the mean of its divisors is an integer number (70956000).

Almost surely, 2^2506292085 is an apocalyptic number.

It is an amenable number.

2506292085 is a deficient number, since it is larger than the sum of its proper divisors (2034891915).

2506292085 is a wasteful number, since it uses less digits than its factorization.

2506292085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866.

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 2506292085 is about 50062.8813094093. The cubic root of 2506292085 is about 1358.3464774804.

The spelling of 2506292085 in words is "two billion, five hundred six million, two hundred ninety-two thousand, eighty-five".