2250559080 has 768 divisors, whose sum is σ = 9862594560. Its totient is φ = 447897600.

The previous prime is 2250559043. The next prime is 2250559099. The reversal of 2250559080 is 809550522.

2250559080 is a `hidden beast` number, since 2 + 25 + 0 + 559 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 23201592 + ... + 23201688.

It is an arithmetic number, because the mean of its divisors is an integer number (12841920).

Almost surely, 2^2250559080 is an apocalyptic number.

2250559080 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 2250559080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4931297280).

2250559080 is an abundant number, since it is smaller than the sum of its proper divisors (7612035480).

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

2250559080 is a wasteful number, since it uses less digits than its factorization.

2250559080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 2250559080 is about 47440.0577571318. The cubic root of 2250559080 is about 1310.4792217531.

The spelling of 2250559080 in words is "two billion, two hundred fifty million, five hundred fifty-nine thousand, eighty".