2559618880 has 336 divisors, whose sum is σ = 7917149520. Its totient is φ = 780337152.

The previous prime is 2559618863. The next prime is 2559618883. The reversal of 2559618880 is 888169552.

It can be written as a sum of positive squares in 8 ways, for example, as 537497856 + 2022121024 = 23184^2 + 44968^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2559618883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5911144 + ... + 5911576.

It is an arithmetic number, because the mean of its divisors is an integer number (23562945).

Almost surely, 2^2559618880 is an apocalyptic number.

2559618880 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 2559618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3958574760).

2559618880 is an abundant number, since it is smaller than the sum of its proper divisors (5357530640).

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

2559618880 is a wasteful number, since it uses less digits than its factorization.

2559618880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 52.

The square root of 2559618880 is about 50592.6761498144. The cubic root of 2559618880 is about 1367.9128679272.

The spelling of 2559618880 in words is "two billion, five hundred fifty-nine million, six hundred eighteen thousand, eight hundred eighty".