2984381746668 has 288 divisors, whose sum is σ = 9478049011200. Its totient is φ = 808121204352.

The previous prime is 2984381746663. The next prime is 2984381746679. The reversal of 2984381746668 is 8666471834892.

It is a junction number, because it is equal to n+sod(n) for n = 2984381746596 and 2984381746605.

It is not an unprimeable number, because it can be changed into a prime (2984381746663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13154571 + ... + 13379517.

It is an arithmetic number, because the mean of its divisors is an integer number (32909892400).

Almost surely, 2^{2984381746668} is an apocalyptic number.

2984381746668 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 2984381746668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4739024505600).

2984381746668 is an abundant number, since it is smaller than the sum of its proper divisors (6493667264532).

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

2984381746668 is a wasteful number, since it uses less digits than its factorization.

2984381746668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225106 (or 225091 counting only the distinct ones).

The product of its digits is 668860416, while the sum is 72.

The spelling of 2984381746668 in words is "two trillion, nine hundred eighty-four billion, three hundred eighty-one million, seven hundred forty-six thousand, six hundred sixty-eight".