2309923405824 has 288 divisors, whose sum is σ = 6642997220160. Its totient is φ = 711563673600.

The previous prime is 2309923405789. The next prime is 2309923405847. The reversal of 2309923405824 is 4285043299032.

It is a happy number.

It is a super-2 number, since 2×2309923405824² (a number of 26 digits) contains 22 as substring.

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, 306311494 + ... + 306319034.

It is an arithmetic number, because the mean of its divisors is an integer number (23065962570).

Almost surely, 2^{2309923405824} is an apocalyptic number.

2309923405824 is a gapful number since it is divisible by the number (24) 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 2309923405824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321498610080).

2309923405824 is an abundant number, since it is smaller than the sum of its proper divisors (4333073814336).

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

2309923405824 is an frugal number, since it uses more digits than its factorization.

2309923405824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7638 (or 7606 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 2309923405824 in words is "two trillion, three hundred nine billion, nine hundred twenty-three million, four hundred five thousand, eight hundred twenty-four".