2585741360 has 40 divisors (see below), whose sum is σ = 6151667280. Its totient is φ = 1010241792.

The previous prime is 2585741359. The next prime is 2585741393. The reversal of 2585741360 is 631475852.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 372395 + ... + 379274.

It is an arithmetic number, because the mean of its divisors is an integer number (153791682).

Almost surely, 2^2585741360 is an apocalyptic number.

2585741360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2585741360 is an abundant number, since it is smaller than the sum of its proper divisors (3565925920).

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

2585741360 is a wasteful number, since it uses less digits than its factorization.

2585741360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751725 (or 751719 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The square root of 2585741360 is about 50850.1854470561. The cubic root of 2585741360 is about 1372.5505897613.

The spelling of 2585741360 in words is "two billion, five hundred eighty-five million, seven hundred forty-one thousand, three hundred sixty".