2559123328 has 64 divisors (see below), whose sum is σ = 5397044400. Its totient is φ = 1206632448.

The previous prime is 2559123323. The next prime is 2559123379. The reversal of 2559123328 is 8233219552.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2559123328² = 13098224415827591168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2559123323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151600 + ... + 167632.

Almost surely, 2^2559123328 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 2559123328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698522200).

2559123328 is an abundant number, since it is smaller than the sum of its proper divisors (2837921072).

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

2559123328 is a wasteful number, since it uses less digits than its factorization.

2559123328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16119 (or 16107 counting only the distinct ones).

The product of its digits is 129600, while the sum is 40.

The square root of 2559123328 is about 50587.7784449960. The cubic root of 2559123328 is about 1367.8245845094.

The spelling of 2559123328 in words is "two billion, five hundred fifty-nine million, one hundred twenty-three thousand, three hundred twenty-eight".