2082722091296 has 192 divisors, whose sum is σ = 5329735842816. Its totient is φ = 777622809600.

The previous prime is 2082722091293. The next prime is 2082722091301. The reversal of 2082722091296 is 6921902272802.

It is not an unprimeable number, because it can be changed into a prime (2082722091293) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5430011 + ... + 5800901.

It is an arithmetic number, because the mean of its divisors is an integer number (27759040848).

Almost surely, 2^{2082722091296} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2082722091296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664867921408).

2082722091296 is an abundant number, since it is smaller than the sum of its proper divisors (3247013751520).

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

2082722091296 is a wasteful number, since it uses less digits than its factorization.

2082722091296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371015 (or 371007 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 50.

The spelling of 2082722091296 in words is "two trillion, eighty-two billion, seven hundred twenty-two million, ninety-one thousand, two hundred ninety-six".