2319882768000 has 2560 divisors, whose sum is σ = 10395052462080. Its totient is φ = 501645312000.

The previous prime is 2319882767987. The next prime is 2319882768001. The reversal of 2319882768000 is 8672889132.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2319882768001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 20529935944 + ... + 20529936056.

It is an arithmetic number, because the mean of its divisors is an integer number (4060567368).

Almost surely, 2^{2319882768000} is an apocalyptic number.

2319882768000 is a gapful number since it is divisible by the number (20) 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 2319882768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5197526231040).

2319882768000 is an abundant number, since it is smaller than the sum of its proper divisors (8075169694080).

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

2319882768000 is a wasteful number, since it uses less digits than its factorization.

2319882768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 2319882768000 in words is "two trillion, three hundred nineteen billion, eight hundred eighty-two million, seven hundred sixty-eight thousand".