2981193984000 has 1152 divisors, whose sum is σ = 11803247164800. Its totient is φ = 747955814400.

The previous prime is 2981193983959. The next prime is 2981193984077. The reversal of 2981193984000 is 4893911892.

2981193984000 is a `hidden beast` number, since 2 + 98 + 119 + 39 + 8 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1057534591 + ... + 1057537409.

It is an arithmetic number, because the mean of its divisors is an integer number (10245874275).

Almost surely, 2^{2981193984000} is an apocalyptic number.

2981193984000 is a gapful number since it is divisible by the number (20) 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 2981193984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5901623582400).

2981193984000 is an abundant number, since it is smaller than the sum of its proper divisors (8822053180800).

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

2981193984000 is an equidigital number, since it uses as much as digits as its factorization.

2981193984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888 (or 2846 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 2981193984000 in words is "two trillion, nine hundred eighty-one billion, one hundred ninety-three million, nine hundred eighty-four thousand".