2722145417489 has 2 divisors, whose sum is σ = 2722145417490. Its totient is φ = 2722145417488.

The previous prime is 2722145417449. The next prime is 2722145417507. The reversal of 2722145417489 is 9847145412272.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1465298145025 + 1256847272464 = 1210495^2 + 1121092^2 .

It is a cyclic number.

It is not a de Polignac number, because 2722145417489 - 2¹⁶ = 2722145351953 is a prime.

It is a super-3 number, since 3×2722145417489³ (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2722145417449) 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 as a sum of consecutive naturals, namely, 1361072708744 + 1361072708745.

It is an arithmetic number, because the mean of its divisors is an integer number (1361072708745).

Almost surely, 2^{2722145417489} is an apocalyptic number.

It is an amenable number.

2722145417489 is a deficient number, since it is larger than the sum of its proper divisors (1).

2722145417489 is an equidigital number, since it uses as much as digits as its factorization.

2722145417489 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9031680, while the sum is 56.

The spelling of 2722145417489 in words is "two trillion, seven hundred twenty-two billion, one hundred forty-five million, four hundred seventeen thousand, four hundred eighty-nine".