2559791520 has 576 divisors, whose sum is σ = 10619900928. Its totient is φ = 552960000.

The previous prime is 2559791519. The next prime is 2559791527. The reversal of 2559791520 is 251979552.

2559791520 is a `hidden beast` number, since 2 + 5 + 59 + 79 + 1 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2559791527) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6383320 + ... + 6383720.

It is an arithmetic number, because the mean of its divisors is an integer number (18437328).

Almost surely, 2^2559791520 is an apocalyptic number.

2559791520 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 2559791520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5309950464).

2559791520 is an abundant number, since it is smaller than the sum of its proper divisors (8060109408).

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

2559791520 is a wasteful number, since it uses less digits than its factorization.

2559791520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The square root of 2559791520 is about 50594.3822968519. The cubic root of 2559791520 is about 1367.9436213556.

The spelling of 2559791520 in words is "two billion, five hundred fifty-nine million, seven hundred ninety-one thousand, five hundred twenty".