2329294968 has 768 divisors, whose sum is σ = 9422784000. Its totient is φ = 529079040.

The previous prime is 2329294951. The next prime is 2329294969. The reversal of 2329294968 is 8694929232.

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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2329294969) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 122594463 + ... + 122594481.

It is an arithmetic number, because the mean of its divisors is an integer number (12269250).

Almost surely, 2^2329294968 is an apocalyptic number.

2329294968 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 2329294968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4711392000).

2329294968 is an abundant number, since it is smaller than the sum of its proper divisors (7093489032).

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

2329294968 is a wasteful number, since it uses less digits than its factorization.

2329294968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 55 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 2329294968 is about 48262.7699992448. The cubic root of 2329294968 is about 1325.5867756844.

The spelling of 2329294968 in words is "two billion, three hundred twenty-nine million, two hundred ninety-four thousand, nine hundred sixty-eight".