2242347517809 has 243 divisors, whose sum is σ = 4159146478617. Its totient is φ = 1205169304752.

The previous prime is 2242347517801. The next prime is 2242347517901. The reversal of 2242347517809 is 9087157432422.

The square root of 2242347517809 is 1497447.

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

2242347517809 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 3 + 47 + 517 + 80 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 2242347517809 - 2³ = 2242347517801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2242347517801) 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 242 ways as a sum of consecutive naturals, for example, 16131996462 + ... + 16131996600.

Almost surely, 2^{2242347517809} is an apocalyptic number.

2242347517809 is the 1497447-th square number.

2242347517809 is the 748724-th centered octagonal number.

It is an amenable number.

2242347517809 is a deficient number, since it is larger than the sum of its proper divisors (1916798960808).

2242347517809 is an frugal number, since it uses more digits than its factorization.

2242347517809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 2242347517809 in words is "two trillion, two hundred forty-two billion, three hundred forty-seven million, five hundred seventeen thousand, eight hundred nine".