2230786656 has 336 divisors, whose sum is σ = 7932556800. Its totient is φ = 602982144.

The previous prime is 2230786651. The next prime is 2230786681. The reversal of 2230786656 is 6566870322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×2230786656³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230786651) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3102265 + ... + 3102983.

It is an arithmetic number, because the mean of its divisors is an integer number (23608800).

Almost surely, 2^2230786656 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 2230786656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3966278400).

2230786656 is an abundant number, since it is smaller than the sum of its proper divisors (5701770144).

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

2230786656 is an equidigital number, since it uses as much as digits as its factorization.

2230786656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2230786656 is about 47231.2042615896. The cubic root of 2230786656 is about 1306.6301625694.

The spelling of 2230786656 in words is "two billion, two hundred thirty million, seven hundred eighty-six thousand, six hundred fifty-six".