2205352711849 has 15 divisors (see below), whose sum is σ = 2572843304157. Its totient is φ = 1890239952636.

The previous prime is 2205352711843. The next prime is 2205352711889. The reversal of 2205352711849 is 9481172535022.

The square root of 2205352711849 is 1485043.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 2205352711849 - 2⁷ = 2205352711721 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (2205352711843) 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 in 14 ways as a sum of consecutive naturals, for example, 72751954 + ... + 72782260.

Almost surely, 2^{2205352711849} is an apocalyptic number.

2205352711849 is the 1485043-rd square number.

2205352711849 is the 742522-nd centered octagonal number.

It is an amenable number.

2205352711849 is a deficient number, since it is larger than the sum of its proper divisors (367490592308).

2205352711849 is an frugal number, since it uses more digits than its factorization.

2205352711849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60642 (or 30314 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 49.

Multiplying 2205352711849 by its sum of digits (49), we get a square (108062282880601 = 10395301²).

2205352711849 divided by its sum of digits (49) gives a square (45007198201 = 212149²).

The spelling of 2205352711849 in words is "two trillion, two hundred five billion, three hundred fifty-two million, seven hundred eleven thousand, eight hundred forty-nine".