2259045888 has 320 divisors, whose sum is σ = 7165255680. Its totient is φ = 624844800.

The previous prime is 2259045863. The next prime is 2259045889. The reversal of 2259045888 is 8885409522.

It is a self number, because there is not a number n which added to its sum of digits gives 2259045888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2259045889) 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, 9951631 + ... + 9951857.

It is an arithmetic number, because the mean of its divisors is an integer number (22391424).

Almost surely, 2^2259045888 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 2259045888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582627840).

2259045888 is an abundant number, since it is smaller than the sum of its proper divisors (4906209792).

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

2259045888 is a wasteful number, since it uses less digits than its factorization.

2259045888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 51.

The square root of 2259045888 is about 47529.4212882926. The cubic root of 2259045888 is about 1312.1244181038.

The spelling of 2259045888 in words is "two billion, two hundred fifty-nine million, forty-five thousand, eight hundred eighty-eight".