2559452928 has 72 divisors (see below), whose sum is σ = 6834015888. Its totient is φ = 850378752.

The previous prime is 2559452899. The next prime is 2559452933. The reversal of 2559452928 is 8292549552.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 238200 + ... + 248712.

Almost surely, 2^2559452928 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 2559452928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3417007944).

2559452928 is an abundant number, since it is smaller than the sum of its proper divisors (4274562960).

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

2559452928 is a wasteful number, since it uses less digits than its factorization.

2559452928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10849 (or 10835 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 51.

The square root of 2559452928 is about 50591.0360439475. The cubic root of 2559452928 is about 1367.8833045699.

The spelling of 2559452928 in words is "two billion, five hundred fifty-nine million, four hundred fifty-two thousand, nine hundred twenty-eight".