2392768000 has 320 divisors, whose sum is σ = 7021872000. Its totient is φ = 812851200.

The previous prime is 2392767997. The next prime is 2392768013. The reversal of 2392768000 is 8672932.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21951946 + ... + 21952054.

It is an arithmetic number, because the mean of its divisors is an integer number (21943350).

Almost surely, 2^2392768000 is an apocalyptic number.

2392768000 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 2392768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510936000).

2392768000 is an abundant number, since it is smaller than the sum of its proper divisors (4629104000).

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

2392768000 is an frugal number, since it uses more digits than its factorization.

2392768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 2392768000 is about 48915.9278763063. The cubic root of 2392768000 is about 1337.5197306898.

The spelling of 2392768000 in words is "two billion, three hundred ninety-two million, seven hundred sixty-eight thousand".