2585990000 has 100 divisors (see below), whose sum is σ = 6830407320. Its totient is φ = 940320000.

The previous prime is 2585989993. The next prime is 2585990021. The reversal of 2585990000 is 995852.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 98246 + ... + 121754.

Almost surely, 2^2585990000 is an apocalyptic number.

2585990000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2585990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3415203660).

2585990000 is an abundant number, since it is smaller than the sum of its proper divisors (4244417320).

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

2585990000 is a wasteful number, since it uses less digits than its factorization.

2585990000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23548 (or 23527 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 38.

The square root of 2585990000 is about 50852.6302171284. The cubic root of 2585990000 is about 1372.5945823077.

The spelling of 2585990000 in words is "two billion, five hundred eighty-five million, nine hundred ninety thousand".