2588138105 has 48 divisors (see below), whose sum is σ = 3813382080. Its totient is φ = 1676723328.

The previous prime is 2588138093. The next prime is 2588138107. The reversal of 2588138105 is 5018318852.

It is a de Polignac number, because none of the positive numbers 2^k-2588138105 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2588138107) 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 47 ways as a sum of consecutive naturals, for example, 2853062 + ... + 2853968.

It is an arithmetic number, because the mean of its divisors is an integer number (79445460).

Almost surely, 2^2588138105 is an apocalyptic number.

It is an amenable number.

2588138105 is a deficient number, since it is larger than the sum of its proper divisors (1225243975).

2588138105 is a wasteful number, since it uses less digits than its factorization.

2588138105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 41.

The square root of 2588138105 is about 50873.7467167497. The cubic root of 2588138105 is about 1372.9745349574.

The spelling of 2588138105 in words is "two billion, five hundred eighty-eight million, one hundred thirty-eight thousand, one hundred five".