2722343320441 has 2 divisors, whose sum is σ = 2722343320442. Its totient is φ = 2722343320440.

The previous prime is 2722343320439. The next prime is 2722343320471. The reversal of 2722343320441 is 1440233432272.

2722343320441 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1653127347600 + 1069215972841 = 1285740^2 + 1034029^2 .

It is a cyclic number.

It is not a de Polignac number, because 2722343320441 - 2¹ = 2722343320439 is a prime.

It is a super-2 number, since 2×2722343320441² (a number of 26 digits) contains 22 as substring.

Together with 2722343320439, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 2722343320441.

It is not a weakly prime, because it can be changed into another prime (2722343320471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1361171660220 + 1361171660221.

It is an arithmetic number, because the mean of its divisors is an integer number (1361171660221).

Almost surely, 2^{2722343320441} is an apocalyptic number.

It is an amenable number.

2722343320441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2722343320441 is an equidigital number, since it uses as much as digits as its factorization.

2722343320441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 193536, while the sum is 37.

The spelling of 2722343320441 in words is "two trillion, seven hundred twenty-two billion, three hundred forty-three million, three hundred twenty thousand, four hundred forty-one".