2263906368 has 224 divisors, whose sum is σ = 6847758720. Its totient is φ = 733224960.

The previous prime is 2263906361. The next prime is 2263906391. The reversal of 2263906368 is 8636093622.

2263906368 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 9 + 0 + 636 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (2263906361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16524796 + ... + 16524932.

Almost surely, 2^2263906368 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 2263906368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423879360).

2263906368 is an abundant number, since it is smaller than the sum of its proper divisors (4583852352).

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

2263906368 is a wasteful number, since it uses less digits than its factorization.

2263906368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 2263906368 is about 47580.5250916801. The cubic root of 2263906368 is about 1313.0647835447.

The spelling of 2263906368 in words is "two billion, two hundred sixty-three million, nine hundred six thousand, three hundred sixty-eight".