2259726336 has 390 divisors, whose sum is σ = 7909065780. Its totient is φ = 640991232.

The previous prime is 2259726317. The next prime is 2259726347. The reversal of 2259726336 is 6336279522.

2259726336 is a `hidden beast` number, since 2 + 2 + 5 + 9 + 7 + 2 + 633 + 6 = 666.

It is a super-2 number, since 2×2259726336² = 10212726227223969792, which contains 22 as substring.

Its product of digits (816480) is a multiple of the sum of its prime factors (189).

It is a junction number, because it is equal to n+sod(n) for n = 2259726291 and 2259726300.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16256955 + ... + 16257093.

Almost surely, 2^2259726336 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 2259726336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3954532890).

2259726336 is an abundant number, since it is smaller than the sum of its proper divisors (5649339444).

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

2259726336 is an equidigital number, since it uses as much as digits as its factorization.

2259726336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 151 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 2259726336 is about 47536.5789261280. The cubic root of 2259726336 is about 1312.2561466966.

The spelling of 2259726336 in words is "two billion, two hundred fifty-nine million, seven hundred twenty-six thousand, three hundred thirty-six".