2298336768 has 720 divisors, whose sum is σ = 8914585680. Its totient is φ = 585252864.

The previous prime is 2298336763. The next prime is 2298336779. The reversal of 2298336768 is 8676338922.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (5225472) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2298336763) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79252978 + ... + 79253006.

It is an arithmetic number, because the mean of its divisors is an integer number (12381369).

Almost surely, 2^2298336768 is an apocalyptic number.

2298336768 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 2298336768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457292840).

2298336768 is an abundant number, since it is smaller than the sum of its proper divisors (6616248912).

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

2298336768 is an equidigital number, since it uses as much as digits as its factorization.

2298336768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 54 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 2298336768 is about 47940.9717047955. The cubic root of 2298336768 is about 1319.6878600785.

The spelling of 2298336768 in words is "two billion, two hundred ninety-eight million, three hundred thirty-six thousand, seven hundred sixty-eight".