2384933720064 has 312 divisors, whose sum is σ = 7428657732480. Its totient is φ = 678517604352.

The previous prime is 2384933720047. The next prime is 2384933720111. The reversal of 2384933720064 is 4600273394832.

It is a junction number, because it is equal to n+sod(n) for n = 2384933719989 and 2384933720016.

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 23 ways as a sum of consecutive naturals, for example, 143896482 + ... + 143913054.

Almost surely, 2^{2384933720064} is an apocalyptic number.

2384933720064 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 2384933720064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714328866240).

2384933720064 is an abundant number, since it is smaller than the sum of its proper divisors (5043724012416).

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

2384933720064 is a wasteful number, since it uses less digits than its factorization.

2384933720064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16853 (or 16824 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 51.

The spelling of 2384933720064 in words is "two trillion, three hundred eighty-four billion, nine hundred thirty-three million, seven hundred twenty thousand, sixty-four".