2722671566753 has 2 divisors, whose sum is σ = 2722671566754. Its totient is φ = 2722671566752.

The previous prime is 2722671566749. The next prime is 2722671566801. The reversal of 2722671566753 is 3576651762272.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2401486406929 + 321185159824 = 1549673^2 + 566732^2 .

It is a cyclic number.

It is not a de Polignac number, because 2722671566753 - 2² = 2722671566749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2722671566692 and 2722671566701.

It is not a weakly prime, because it can be changed into another prime (2722671566723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1361335783376 + 1361335783377.

It is an arithmetic number, because the mean of its divisors is an integer number (1361335783377).

Almost surely, 2^{2722671566753} is an apocalyptic number.

It is an amenable number.

2722671566753 is a deficient number, since it is larger than the sum of its proper divisors (1).

2722671566753 is an equidigital number, since it uses as much as digits as its factorization.

2722671566753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 44452800, while the sum is 59.

The spelling of 2722671566753 in words is "two trillion, seven hundred twenty-two billion, six hundred seventy-one million, five hundred sixty-six thousand, seven hundred fifty-three".