2559085000 has 80 divisors (see below), whose sum is σ = 6043253040. Its totient is φ = 1015560000.

The previous prime is 2559084911. The next prime is 2559085003. The reversal of 2559085000 is 5809552.

It is not an unprimeable number, because it can be changed into a prime (2559085003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 653047 + ... + 656953.

It is an arithmetic number, because the mean of its divisors is an integer number (75540663).

Almost surely, 2^2559085000 is an apocalyptic number.

2559085000 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 2559085000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021626520).

2559085000 is an abundant number, since it is smaller than the sum of its proper divisors (3484168040).

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

2559085000 is a wasteful number, since it uses less digits than its factorization.

2559085000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4064 (or 4045 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 34.

The square root of 2559085000 is about 50587.3996169006. The cubic root of 2559085000 is about 1367.8177558373.

The spelling of 2559085000 in words is "two billion, five hundred fifty-nine million, eighty-five thousand".