2261444516041 has 2 divisors, whose sum is σ = 2261444516042. Its totient is φ = 2261444516040.

The previous prime is 2261444516029. The next prime is 2261444516101. The reversal of 2261444516041 is 1406154441622.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1733446092816 + 527998423225 = 1316604^2 + 726635^2 .

It is a cyclic number.

It is not a de Polignac number, because 2261444516041 - 2⁹ = 2261444515529 is a prime.

It is a super-2 number, since 2×2261444516041² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2261444515985 and 2261444516003.

It is not a weakly prime, because it can be changed into another prime (2261444516011) 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, 1130722258020 + 1130722258021.

It is an arithmetic number, because the mean of its divisors is an integer number (1130722258021).

Almost surely, 2^{2261444516041} is an apocalyptic number.

It is an amenable number.

2261444516041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2261444516041 is an equidigital number, since it uses as much as digits as its factorization.

2261444516041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 184320, while the sum is 40.

Adding to 2261444516041 its reverse (1406154441622), we get a palindrome (3667598957663).

The spelling of 2261444516041 in words is "two trillion, two hundred sixty-one billion, four hundred forty-four million, five hundred sixteen thousand, forty-one".