2582986137 has 16 divisors (see below), whose sum is σ = 3669806592. Its totient is φ = 1610369280.

The previous prime is 2582986129. The next prime is 2582986157. The reversal of 2582986137 is 7316892852.

It is not a de Polignac number, because 2582986137 - 2³ = 2582986129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 2582986137.

It is not an unprimeable number, because it can be changed into a prime (2582986117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 153289 + ... + 169302.

It is an arithmetic number, because the mean of its divisors is an integer number (229362912).

Almost surely, 2^2582986137 is an apocalyptic number.

It is an amenable number.

2582986137 is a deficient number, since it is larger than the sum of its proper divisors (1086820455).

2582986137 is a wasteful number, since it uses less digits than its factorization.

2582986137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322768.

The product of its digits is 1451520, while the sum is 51.

The square root of 2582986137 is about 50823.0866536065. The cubic root of 2582986137 is about 1372.0629118375.

The spelling of 2582986137 in words is "two billion, five hundred eighty-two million, nine hundred eighty-six thousand, one hundred thirty-seven".