2259584250 has 192 divisors, whose sum is σ = 7086852864. Its totient is φ = 469392000.

The previous prime is 2259584209. The next prime is 2259584263. The reversal of 2259584250 is 524859522.

2259584250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 633472 + ... + 637028.

It is an arithmetic number, because the mean of its divisors is an integer number (36910692).

Almost surely, 2^2259584250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2259584250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3543426432).

2259584250 is an abundant number, since it is smaller than the sum of its proper divisors (4827268614).

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

2259584250 is a wasteful number, since it uses less digits than its factorization.

2259584250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3606 (or 3585 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The square root of 2259584250 is about 47535.0844114113. The cubic root of 2259584250 is about 1312.2286423137.

The spelling of 2259584250 in words is "two billion, two hundred fifty-nine million, five hundred eighty-four thousand, two hundred fifty".