2559578616 has 320 divisors, whose sum is σ = 9137145600. Its totient is φ = 651691008.

The previous prime is 2559578603. The next prime is 2559578629. The reversal of 2559578616 is 6168759552.

2559578616 is a `hidden beast` number, since 2 + 5 + 5 + 9 + 578 + 61 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2559578603) and next prime (2559578629).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1464255 + ... + 1466001.

It is an arithmetic number, because the mean of its divisors is an integer number (28553580).

Almost surely, 2^2559578616 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 2559578616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4568572800).

2559578616 is an abundant number, since it is smaller than the sum of its proper divisors (6577566984).

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

2559578616 is a wasteful number, since it uses less digits than its factorization.

2559578616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1795 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 54.

The square root of 2559578616 is about 50592.2782250414. The cubic root of 2559578616 is about 1367.9056952535.

The spelling of 2559578616 in words is "two billion, five hundred fifty-nine million, five hundred seventy-eight thousand, six hundred sixteen".