2585193968 has 40 divisors (see below), whose sum is σ = 5802792288. Its totient is φ = 1092759552.

The previous prime is 2585193967. The next prime is 2585194019. The reversal of 2585193968 is 8693915852.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585193967) 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 7 ways as a sum of consecutive naturals, for example, 149921 + ... + 166272.

Almost surely, 2^2585193968 is an apocalyptic number.

2585193968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2585193968 is an abundant number, since it is smaller than the sum of its proper divisors (3217598320).

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

2585193968 is a wasteful number, since it uses less digits than its factorization.

2585193968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316281 (or 316275 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 56.

The square root of 2585193968 is about 50844.8027629177. The cubic root of 2585193968 is about 1372.4537282773.

The spelling of 2585193968 in words is "two billion, five hundred eighty-five million, one hundred ninety-three thousand, nine hundred sixty-eight".