2090505112349 has 2 divisors, whose sum is σ = 2090505112350. Its totient is φ = 2090505112348.

The previous prime is 2090505112259. The next prime is 2090505112361. The reversal of 2090505112349 is 9432115050902.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1442509092025 + 647996020324 = 1201045^2 + 804982^2 .

It is a cyclic number.

It is not a de Polignac number, because 2090505112349 - 2¹⁶ = 2090505046813 is a prime.

It is a super-2 number, since 2×2090505112349² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2090505112369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1045252556174 + 1045252556175.

It is an arithmetic number, because the mean of its divisors is an integer number (1045252556175).

Almost surely, 2^{2090505112349} is an apocalyptic number.

It is an amenable number.

2090505112349 is a deficient number, since it is larger than the sum of its proper divisors (1).

2090505112349 is an equidigital number, since it uses as much as digits as its factorization.

2090505112349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 97200, while the sum is 41.

The spelling of 2090505112349 in words is "two trillion, ninety billion, five hundred five million, one hundred twelve thousand, three hundred forty-nine".