2263087296 has 224 divisors, whose sum is σ = 6964070400. Its totient is φ = 719815680.

The previous prime is 2263087289. The next prime is 2263087301. The reversal of 2263087296 is 6927803622.

2263087296 is a `hidden beast` number, since 2 + 2 + 630 + 8 + 7 + 2 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4445890 + ... + 4446398.

It is an arithmetic number, because the mean of its divisors is an integer number (31089600).

Almost surely, 2^2263087296 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 2263087296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482035200).

2263087296 is an abundant number, since it is smaller than the sum of its proper divisors (4700983104).

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

2263087296 is a wasteful number, since it uses less digits than its factorization.

2263087296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2263087296 is about 47571.9170940167. The cubic root of 2263087296 is about 1312.9064106333.

The spelling of 2263087296 in words is "two billion, two hundred sixty-three million, eighty-seven thousand, two hundred ninety-six".