2309968320 has 448 divisors, whose sum is σ = 8734348800. Its totient is φ = 510935040.

The previous prime is 2309968289. The next prime is 2309968327. The reversal of 2309968320 is 238699032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2309968327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5818362 + ... + 5818758.

Almost surely, 2^2309968320 is an apocalyptic number.

2309968320 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 2309968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4367174400).

2309968320 is an abundant number, since it is smaller than the sum of its proper divisors (6424380480).

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

2309968320 is a wasteful number, since it uses less digits than its factorization.

2309968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 2309968320 is about 48062.1297905118. The cubic root of 2309968320 is about 1321.9103652102.

It can be divided in two parts, 23099 and 68320, that added together give a palindrome (91419).

The spelling of 2309968320 in words is "two billion, three hundred nine million, nine hundred sixty-eight thousand, three hundred twenty".