2559427488 has 144 divisors (see below), whose sum is σ = 7757358336. Its totient is φ = 798589440.

The previous prime is 2559427477. The next prime is 2559427489. The reversal of 2559427488 is 8847249552.

2559427488 is a `hidden beast` number, since 2 + 5 + 594 + 2 + 7 + 48 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2559427489) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 307218 + ... + 315438.

It is an arithmetic number, because the mean of its divisors is an integer number (53870544).

Almost surely, 2^2559427488 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 2559427488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878679168).

2559427488 is an abundant number, since it is smaller than the sum of its proper divisors (5197930848).

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

2559427488 is a wasteful number, since it uses less digits than its factorization.

2559427488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8307 (or 8296 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The square root of 2559427488 is about 50590.7846153823. The cubic root of 2559427488 is about 1367.8787724729.

The spelling of 2559427488 in words is "two billion, five hundred fifty-nine million, four hundred twenty-seven thousand, four hundred eighty-eight".