2585870208 has 384 divisors, whose sum is σ = 8384563200. Its totient is φ = 761425920.

The previous prime is 2585870207. The next prime is 2585870233. The reversal of 2585870208 is 8020785852.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585870201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25105485 + ... + 25105587.

It is an arithmetic number, because the mean of its divisors is an integer number (21834800).

Almost surely, 2^2585870208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2585870208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4192281600).

2585870208 is an abundant number, since it is smaller than the sum of its proper divisors (5798692992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2585870208 is a wasteful number, since it uses less digits than its factorization.

2585870208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 2585870208 is about 50851.4523686394. The cubic root of 2585870208 is about 1372.5733875378.

The spelling of 2585870208 in words is "two billion, five hundred eighty-five million, eight hundred seventy thousand, two hundred eight".