2258916864 has 80 divisors (see below), whose sum is σ = 6116803440. Its totient is φ = 740597760.

The previous prime is 2258916841. The next prime is 2258916883. The reversal of 2258916864 is 4686198522.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81642 + ... + 105750.

It is an arithmetic number, because the mean of its divisors is an integer number (76460043).

Almost surely, 2^2258916864 is an apocalyptic number.

2258916864 is a gapful number since it is divisible by the number (24) 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 2258916864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058401720).

2258916864 is an abundant number, since it is smaller than the sum of its proper divisors (3857886576).

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

2258916864 is an equidigital number, since it uses as much as digits as its factorization.

2258916864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24191 (or 24175 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The square root of 2258916864 is about 47528.0639622529. The cubic root of 2258916864 is about 1312.0994372383.

The spelling of 2258916864 in words is "two billion, two hundred fifty-eight million, nine hundred sixteen thousand, eight hundred sixty-four".