2258896896 has 336 divisors, whose sum is σ = 7250852700. Its totient is φ = 700710912.

The previous prime is 2258896841. The next prime is 2258896919. The reversal of 2258896896 is 6986988522.

It can be written as a sum of positive squares in 2 ways, for example, as 2258150400 + 746496 = 47520^2 + 864^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 25380820 + ... + 25380908.

Almost surely, 2^2258896896 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 2258896896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3625426350).

2258896896 is an abundant number, since it is smaller than the sum of its proper divisors (4991955804).

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

2258896896 is an frugal number, since it uses more digits than its factorization.

2258896896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 111 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The square root of 2258896896 is about 47527.8538964258. The cubic root of 2258896896 is about 1312.0955710670.

The spelling of 2258896896 in words is "two billion, two hundred fifty-eight million, eight hundred ninety-six thousand, eight hundred ninety-six".