2289954726097 has 2 divisors, whose sum is σ = 2289954726098. Its totient is φ = 2289954726096.

The previous prime is 2289954726067. The next prime is 2289954726109. The reversal of 2289954726097 is 7906274599822.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1555298317456 + 734656408641 = 1247116^2 + 857121^2 .

It is a cyclic number.

It is not a de Polignac number, because 2289954726097 - 2³⁹ = 1740198912209 is a prime.

It is not a weakly prime, because it can be changed into another prime (2289954726067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1144977363048 + 1144977363049.

It is an arithmetic number, because the mean of its divisors is an integer number (1144977363049).

Almost surely, 2^{2289954726097} is an apocalyptic number.

It is an amenable number.

2289954726097 is a deficient number, since it is larger than the sum of its proper divisors (1).

2289954726097 is an equidigital number, since it uses as much as digits as its factorization.

2289954726097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 274337280, while the sum is 70.

The spelling of 2289954726097 in words is "two trillion, two hundred eighty-nine billion, nine hundred fifty-four million, seven hundred twenty-six thousand, ninety-seven".