2981741979744 has 288 divisors, whose sum is σ = 9291026384640. Its totient is φ = 899575372800.

The previous prime is 2981741979707. The next prime is 2981741979779. The reversal of 2981741979744 is 4479791471892.

2981741979744 is a `hidden beast` number, since 2 + 9 + 81 + 7 + 419 + 7 + 97 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1469561322 + ... + 1469563350.

It is an arithmetic number, because the mean of its divisors is an integer number (32260508280).

Almost surely, 2^{2981741979744} is an apocalyptic number.

2981741979744 is a gapful number since it is divisible by the number (24) 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 2981741979744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645513192320).

2981741979744 is an abundant number, since it is smaller than the sum of its proper divisors (6309284404896).

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

2981741979744 is a wasteful number, since it uses less digits than its factorization.

2981741979744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3874 (or 3863 counting only the distinct ones).

The product of its digits is 256048128, while the sum is 72.

The spelling of 2981741979744 in words is "two trillion, nine hundred eighty-one billion, seven hundred forty-one million, nine hundred seventy-nine thousand, seven hundred forty-four".