2339968000 has 176 divisors, whose sum is σ = 5928079248. Its totient is φ = 921600000.

The previous prime is 2339967989. The next prime is 2339968019. The reversal of 2339968000 is 8699332.

It can be written as a sum of positive squares in 8 ways, for example, as 862949376 + 1477018624 = 29376^2 + 38432^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12927910 + ... + 12928090.

Almost surely, 2^2339968000 is an apocalyptic number.

2339968000 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 2339968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2964039624).

2339968000 is an abundant number, since it is smaller than the sum of its proper divisors (3588111248).

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

2339968000 is a wasteful number, since it uses less digits than its factorization.

2339968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 2339968000 is about 48373.2157293683. The cubic root of 2339968000 is about 1327.6083424307.

The spelling of 2339968000 in words is "two billion, three hundred thirty-nine million, nine hundred sixty-eight thousand".