2259316224 has 360 divisors, whose sum is σ = 7506061992. Its totient is φ = 648560640.

The previous prime is 2259316217. The next prime is 2259316229. The reversal of 2259316224 is 4226139522.

2259316224 is a `hidden beast` number, since 2 + 2 + 593 + 1 + 62 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2259316229) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42628582 + ... + 42628634.

Almost surely, 2^2259316224 is an apocalyptic number.

2259316224 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 2259316224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753030996).

2259316224 is an abundant number, since it is smaller than the sum of its proper divisors (5246745768).

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

2259316224 is a wasteful number, since it uses less digits than its factorization.

2259316224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 98 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 2259316224 is about 47532.2650838354. The cubic root of 2259316224 is about 1312.1767558806.

The spelling of 2259316224 in words is "two billion, two hundred fifty-nine million, three hundred sixteen thousand, two hundred twenty-four".