2320309782336 has 448 divisors, whose sum is σ = 7958885580800. Its totient is φ = 592202741760.

The previous prime is 2320309782313. The next prime is 2320309782347. The reversal of 2320309782336 is 6332879030232.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26496255 + ... + 26583681.

It is an arithmetic number, because the mean of its divisors is an integer number (17765369600).

Almost surely, 2^{2320309782336} is an apocalyptic number.

2320309782336 is a gapful number since it is divisible by the number (26) 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 2320309782336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3979442790400).

2320309782336 is an abundant number, since it is smaller than the sum of its proper divisors (5638575798464).

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

2320309782336 is a wasteful number, since it uses less digits than its factorization.

2320309782336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87507 (or 87483 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 48.

The spelling of 2320309782336 in words is "two trillion, three hundred twenty billion, three hundred nine million, seven hundred eighty-two thousand, three hundred thirty-six".