2263409568 has 360 divisors, whose sum is σ = 7883767584. Its totient is φ = 635040000.

The previous prime is 2263409557. The next prime is 2263409579. The reversal of 2263409568 is 8659043622.

2263409568 is a `hidden beast` number, since 2 + 2 + 634 + 0 + 9 + 5 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2263409557) and next prime (2263409579).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9017443 + ... + 9017693.

Almost surely, 2^2263409568 is an apocalyptic number.

2263409568 is a gapful number since it is divisible by the number (28) 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 2263409568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3941883792).

2263409568 is an abundant number, since it is smaller than the sum of its proper divisors (5620358016).

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

2263409568 is a wasteful number, since it uses less digits than its factorization.

2263409568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2263409568 is about 47575.3041818967. The cubic root of 2263409568 is about 1312.9687285847.

The spelling of 2263409568 in words is "two billion, two hundred sixty-three million, four hundred nine thousand, five hundred sixty-eight".