2329872768 has 128 divisors (see below), whose sum is σ = 7175577600. Its totient is φ = 742832640.

The previous prime is 2329872757. The next prime is 2329872773. The reversal of 2329872768 is 8672789232.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64833 + ... + 94143.

It is an arithmetic number, because the mean of its divisors is an integer number (56059200).

Almost surely, 2^2329872768 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 2329872768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3587788800).

2329872768 is an abundant number, since it is smaller than the sum of its proper divisors (4845704832).

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

2329872768 is a wasteful number, since it uses less digits than its factorization.

2329872768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29357 (or 29339 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 2329872768 is about 48268.7556085715. The cubic root of 2329872768 is about 1325.6963740431.

The spelling of 2329872768 in words is "two billion, three hundred twenty-nine million, eight hundred seventy-two thousand, seven hundred sixty-eight".