2230848768 has 144 divisors (see below), whose sum is σ = 6098641920. Its totient is φ = 723720192.

The previous prime is 2230848757. The next prime is 2230848787. The reversal of 2230848768 is 8678480322.

It is a happy number.

It is a super-3 number, since 3×2230848768³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5035555 + ... + 5035997.

It is an arithmetic number, because the mean of its divisors is an integer number (42351680).

Almost surely, 2^2230848768 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 2230848768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049320960).

2230848768 is an abundant number, since it is smaller than the sum of its proper divisors (3867793152).

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

2230848768 is an equidigital number, since it uses as much as digits as its factorization.

2230848768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The square root of 2230848768 is about 47231.8617884157. The cubic root of 2230848768 is about 1306.6422893319.

The spelling of 2230848768 in words is "two billion, two hundred thirty million, eight hundred forty-eight thousand, seven hundred sixty-eight".