2349944900209 has 9 divisors (see below), whose sum is σ = 2363873686849. Its totient is φ = 2336097735760.

The previous prime is 2349944900153. The next prime is 2349944900249. The reversal of 2349944900209 is 9020094499432.

The square root of 2349944900209 is 1532953.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1973842354225 + 376102545984 = 1404935^2 + 613272^2 .

It is not a de Polignac number, because 2349944900209 - 2⁷ = 2349944900081 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2349944900209.

It is not an unprimeable number, because it can be changed into a prime (2349944900249) 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 in 8 ways as a sum of consecutive naturals, for example, 265196439 + ... + 265205299.

Almost surely, 2^{2349944900209} is an apocalyptic number.

2349944900209 is the 1532953-rd square number.

2349944900209 is the 766477-th centered octagonal number.

It is an amenable number.

2349944900209 is a deficient number, since it is larger than the sum of its proper divisors (13928786640).

2349944900209 is an frugal number, since it uses more digits than its factorization.

2349944900209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18068 (or 9034 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 55.

The spelling of 2349944900209 in words is "two trillion, three hundred forty-nine billion, nine hundred forty-four million, nine hundred thousand, two hundred nine".