2259578880 has 624 divisors, whose sum is σ = 9016128576. Its totient is φ = 519045120.

The previous prime is 2259578879. The next prime is 2259578917. The reversal of 2259578880 is 888759522.

It is a tau number, because it is divible by the number of its divisors (624).

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 47 ways as a sum of consecutive naturals, for example, 55111660 + ... + 55111700.

It is an arithmetic number, because the mean of its divisors is an integer number (14448924).

Almost surely, 2^2259578880 is an apocalyptic number.

2259578880 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 2259578880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508064288).

2259578880 is an abundant number, since it is smaller than the sum of its proper divisors (6756549696).

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

2259578880 is a wasteful number, since it uses less digits than its factorization.

2259578880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The square root of 2259578880 is about 47535.0279267826. The cubic root of 2259578880 is about 1312.2276027901.

It can be divided in two parts, 22595 and 78880, that added together give a triangular number (101475 = T₄₅₀).

The spelling of 2259578880 in words is "two billion, two hundred fifty-nine million, five hundred seventy-eight thousand, eight hundred eighty".