1972981798242 has 192 divisors, whose sum is σ = 5027264403840. Its totient is φ = 511539646464.

The previous prime is 1972981798217. The next prime is 1972981798253. The reversal of 1972981798242 is 2428971892791.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130334098 + ... + 130349234.

It is an arithmetic number, because the mean of its divisors is an integer number (26183668770).

Almost surely, 2^{1972981798242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1972981798242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513632201920).

1972981798242 is an abundant number, since it is smaller than the sum of its proper divisors (3054282605598).

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

1972981798242 is a wasteful number, since it uses less digits than its factorization.

1972981798242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15745 (or 15738 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 69.

The spelling of 1972981798242 in words is "one trillion, nine hundred seventy-two billion, nine hundred eighty-one million, seven hundred ninety-eight thousand, two hundred forty-two".