2233760256 has 360 divisors, whose sum is σ = 8086802724. Its totient is φ = 588349440.

The previous prime is 2233760227. The next prime is 2233760261. The reversal of 2233760256 is 6520673322.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1598720256 + 635040000 = 39984^2 + 25200^2 .

It is a super-3 number, since 3×2233760256³ (a number of 29 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2233760256.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2934916 + ... + 2935676.

Almost surely, 2^2233760256 is an apocalyptic number.

2233760256 is a gapful number since it is divisible by the number (26) 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 2233760256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043401362).

2233760256 is an abundant number, since it is smaller than the sum of its proper divisors (5853042468).

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

2233760256 is a wasteful number, since it uses less digits than its factorization.

2233760256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 2233760256 is about 47262.6729671524. The cubic root of 2233760256 is about 1307.2104765931.

The spelling of 2233760256 in words is "two billion, two hundred thirty-three million, seven hundred sixty thousand, two hundred fifty-six".