2559553920 has 768 divisors, whose sum is σ = 11456640000. Its totient is φ = 510935040.

The previous prime is 2559553907. The next prime is 2559553939. The reversal of 2559553920 is 293559552.

2559553920 is a `hidden beast` number, since 2 + 5 + 5 + 9 + 553 + 92 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12861981 + ... + 12862179.

It is an arithmetic number, because the mean of its divisors is an integer number (14917500).

Almost surely, 2^2559553920 is an apocalyptic number.

2559553920 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 2559553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5728320000).

2559553920 is an abundant number, since it is smaller than the sum of its proper divisors (8897086080).

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

2559553920 is a wasteful number, since it uses less digits than its factorization.

2559553920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 607500, while the sum is 45.

The square root of 2559553920 is about 50592.0341555862. The cubic root of 2559553920 is about 1367.9012958435.

The spelling of 2559553920 in words is "two billion, five hundred fifty-nine million, five hundred fifty-three thousand, nine hundred twenty".