2382979834368 has 320 divisors, whose sum is σ = 8161020637440. Its totient is φ = 680849141760.

The previous prime is 2382979834331. The next prime is 2382979834373. The reversal of 2382979834368 is 8634389792832.

It is a happy number.

2382979834368 is a `hidden beast` number, since 2 + 382 + 9 + 79 + 83 + 43 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2382979834296 and 2382979834305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7686198 + ... + 7990218.

It is an arithmetic number, because the mean of its divisors is an integer number (25503189492).

Almost surely, 2^{2382979834368} is an apocalyptic number.

2382979834368 is a gapful number since it is divisible by the number (28) 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 2382979834368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080510318720).

2382979834368 is an abundant number, since it is smaller than the sum of its proper divisors (5778040803072).

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

2382979834368 is an frugal number, since it uses more digits than its factorization.

2382979834368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304067 (or 304033 counting only the distinct ones).

The product of its digits is 752467968, while the sum is 72.

The spelling of 2382979834368 in words is "two trillion, three hundred eighty-two billion, nine hundred seventy-nine million, eight hundred thirty-four thousand, three hundred sixty-eight".