2559971232 has 576 divisors, whose sum is σ = 9708491520. Its totient is φ = 621084672.

The previous prime is 2559971209. The next prime is 2559971257. The reversal of 2559971232 is 2321799552.

2559971232 is a `hidden beast` number, since 2 + 559 + 9 + 71 + 23 + 2 = 666.

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, 26391408 + ... + 26391504.

It is an arithmetic number, because the mean of its divisors is an integer number (16855020).

Almost surely, 2^2559971232 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 2559971232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4854245760).

2559971232 is an abundant number, since it is smaller than the sum of its proper divisors (7148520288).

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

2559971232 is a wasteful number, since it uses less digits than its factorization.

2559971232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 194 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 2559971232 is about 50596.1582731337. The cubic root of 2559971232 is about 1367.9756330942.

The spelling of 2559971232 in words is "two billion, five hundred fifty-nine million, nine hundred seventy-one thousand, two hundred thirty-two".