2258744600 has 96 divisors (see below), whose sum is σ = 6100428000. Its totient is φ = 761702400.

The previous prime is 2258744591. The next prime is 2258744603. The reversal of 2258744600 is 64478522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2258744603) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 72176 + ... + 98624.

It is an arithmetic number, because the mean of its divisors is an integer number (63546125).

Almost surely, 2^2258744600 is an apocalyptic number.

2258744600 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 2258744600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050214000).

2258744600 is an abundant number, since it is smaller than the sum of its proper divisors (3841683400).

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

2258744600 is a wasteful number, since it uses less digits than its factorization.

2258744600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26533 (or 26524 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The square root of 2258744600 is about 47526.2516931432. The cubic root of 2258744600 is about 1312.0660830164.

The spelling of 2258744600 in words is "two billion, two hundred fifty-eight million, seven hundred forty-four thousand, six hundred".