2585335852 has 72 divisors (see below), whose sum is σ = 5363230320. Its totient is φ = 1085990400.

The previous prime is 2585335849. The next prime is 2585335873.

2585335852 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2585335852² = 13367922935273131808, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 373608 + ... + 380464.

It is an arithmetic number, because the mean of its divisors is an integer number (74489310).

Almost surely, 2^2585335852 is an apocalyptic number.

2585335852 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2585335852 is an abundant number, since it is smaller than the sum of its proper divisors (2777894468).

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

2585335852 is a wasteful number, since it uses less digits than its factorization.

2585335852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6943 (or 6930 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 46.

The square root of 2585335852 is about 50846.1980092907. The cubic root of 2585335852 is about 1372.4788360854.

The spelling of 2585335852 in words is "two billion, five hundred eighty-five million, three hundred thirty-five thousand, eight hundred fifty-two".