2283310656 has 189 divisors, whose sum is σ = 7233722769. Its totient is φ = 688089600.

The previous prime is 2283310643. The next prime is 2283310691. The reversal of 2283310656 is 6560133822.

It is a happy number.

The square root of 2283310656 is 47784.

It is a perfect power (a square), and thus also a powerful number.

2283310656 is a `hidden beast` number, since 2 + 283 + 310 + 65 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25160256 + 2258150400 = 5016^2 + 47520^2 .

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 2283310656.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12614886 + ... + 12615066.

Almost surely, 2^2283310656 is an apocalyptic number.

2283310656 is the 47784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2283310656

2283310656 is an abundant number, since it is smaller than the sum of its proper divisors (4950412113).

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

2283310656 is a wasteful number, since it uses less digits than its factorization.

2283310656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The cubic root of 2283310656 is about 1316.8056091655.

Multiplying 2283310656 by its sum of digits (36), we get a square (82199183616 = 286704²).

2283310656 divided by its sum of digits (36) gives a square (63425296 = 7964²).

It can be divided in two parts, 22833 and 10656, that added together give a square (33489 = 183²).

The spelling of 2283310656 in words is "two billion, two hundred eighty-three million, three hundred ten thousand, six hundred fifty-six".