2992939383168 has 512 divisors, whose sum is σ = 10437629644800. Its totient is φ = 836905623552.

The previous prime is 2992939383157. The next prime is 2992939383179. The reversal of 2992939383168 is 8613839392992.

2992939383168 is a `hidden beast` number, since 2 + 99 + 293 + 93 + 8 + 3 + 168 = 666.

It is an interprime number because it is at equal distance from previous prime (2992939383157) and next prime (2992939383179).

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 = 2992939383096 and 2992939383105.

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, 92082696 + ... + 92115192.

It is an arithmetic number, because the mean of its divisors is an integer number (20385995400).

Almost surely, 2^{2992939383168} is an apocalyptic number.

2992939383168 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 2992939383168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5218814822400).

2992939383168 is an abundant number, since it is smaller than the sum of its proper divisors (7444690261632).

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

2992939383168 is an frugal number, since it uses more digits than its factorization.

2992939383168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32586 (or 32556 counting only the distinct ones).

The product of its digits is 272097792, while the sum is 72.

The spelling of 2992939383168 in words is "two trillion, nine hundred ninety-two billion, nine hundred thirty-nine million, three hundred eighty-three thousand, one hundred sixty-eight".