2588468205 has 32 divisors (see below), whose sum is σ = 4307402880. Its totient is φ = 1326286080.

The previous prime is 2588468171. The next prime is 2588468209. The reversal of 2588468205 is 5028648852.

It is a happy number.

It is not a de Polignac number, because 2588468205 - 2¹¹ = 2588466157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2588468209) 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 31 ways as a sum of consecutive naturals, for example, 6451 + ... + 72239.

It is an arithmetic number, because the mean of its divisors is an integer number (134606340).

Almost surely, 2^2588468205 is an apocalyptic number.

It is an amenable number.

2588468205 is a deficient number, since it is larger than the sum of its proper divisors (1718934675).

2588468205 is a wasteful number, since it uses less digits than its factorization.

2588468205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65901.

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

The square root of 2588468205 is about 50876.9909192751. The cubic root of 2588468205 is about 1373.0329037678.

The spelling of 2588468205 in words is "two billion, five hundred eighty-eight million, four hundred sixty-eight thousand, two hundred five".