2559138288 has 120 divisors (see below), whose sum is σ = 7938777600. Its totient is φ = 707575680.

The previous prime is 2559138277. The next prime is 2559138331. The reversal of 2559138288 is 8828319552.

It is a self number, because there is not a number n which added to its sum of digits gives 2559138288.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55363 + ... + 90461.

It is an arithmetic number, because the mean of its divisors is an integer number (66156480).

Almost surely, 2^2559138288 is an apocalyptic number.

2559138288 is a gapful number since it is divisible by the number (28) 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 2559138288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3969388800).

2559138288 is an abundant number, since it is smaller than the sum of its proper divisors (5379639312).

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

2559138288 is a wasteful number, since it uses less digits than its factorization.

2559138288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35155 (or 35142 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 51.

The square root of 2559138288 is about 50587.9263065803. The cubic root of 2559138288 is about 1367.8272498253.

The spelling of 2559138288 in words is "two billion, five hundred fifty-nine million, one hundred thirty-eight thousand, two hundred eighty-eight".