2559005112 has 128 divisors (see below), whose sum is σ = 6796339200. Its totient is φ = 801792000.

The previous prime is 2559005107. The next prime is 2559005117. The reversal of 2559005112 is 2115009552.

It is an interprime number because it is at equal distance from previous prime (2559005107) and next prime (2559005117).

It is a self number, because there is not a number n which added to its sum of digits gives 2559005112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2559005117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4257612 + ... + 4258212.

It is an arithmetic number, because the mean of its divisors is an integer number (53096400).

Almost surely, 2^2559005112 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 2559005112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398169600).

2559005112 is an abundant number, since it is smaller than the sum of its proper divisors (4237334088).

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

2559005112 is a wasteful number, since it uses less digits than its factorization.

2559005112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The square root of 2559005112 is about 50586.6100069969. The cubic root of 2559005112 is about 1367.8035224476.

The spelling of 2559005112 in words is "two billion, five hundred fifty-nine million, five thousand, one hundred twelve".