2559906888 has 128 divisors (see below), whose sum is σ = 8148971520. Its totient is φ = 650741760.

The previous prime is 2559906887. The next prime is 2559906959. The reversal of 2559906888 is 8886099552.

It is not an unprimeable number, because it can be changed into a prime (2559906883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72120 + ... + 101592.

It is an arithmetic number, because the mean of its divisors is an integer number (63663840).

Almost surely, 2^2559906888 is an apocalyptic number.

2559906888 is a gapful number since it is divisible by the number (28) 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 2559906888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4074485760).

2559906888 is an abundant number, since it is smaller than the sum of its proper divisors (5589064632).

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

2559906888 is a wasteful number, since it uses less digits than its factorization.

2559906888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29547 (or 29543 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 60.

The square root of 2559906888 is about 50595.5224105849. The cubic root of 2559906888 is about 1367.9641717986.

The spelling of 2559906888 in words is "two billion, five hundred fifty-nine million, nine hundred six thousand, eight hundred eighty-eight".