2585905152 has 96 divisors (see below), whose sum is σ = 6966741600. Its totient is φ = 852885504.

The previous prime is 2585905141. The next prime is 2585905169. The reversal of 2585905152 is 2515095852.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 593799 + ... + 598137.

It is an arithmetic number, because the mean of its divisors is an integer number (72570225).

Almost surely, 2^2585905152 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 2585905152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483370800).

2585905152 is an abundant number, since it is smaller than the sum of its proper divisors (4380836448).

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

2585905152 is an equidigital number, since it uses as much as digits as its factorization.

2585905152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4461 (or 4441 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 42.

The square root of 2585905152 is about 50851.7959564852. The cubic root of 2585905152 is about 1372.5795702390.

The spelling of 2585905152 in words is "two billion, five hundred eighty-five million, nine hundred five thousand, one hundred fifty-two".