2493105207849 has 27 divisors (see below), whose sum is σ = 3800798979159. Its totient is φ = 1574535920400.

The previous prime is 2493105207841. The next prime is 2493105207911. The reversal of 2493105207849 is 9487025013942.

The square root of 2493105207849 is 1578957.

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

2493105207849 is a `hidden beast` number, since 2 + 4 + 9 + 3 + 1 + 0 + 520 + 78 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1041128407449 + 1451976800400 = 1020357^2 + 1204980^2 .

It is not a de Polignac number, because 2493105207849 - 2³ = 2493105207841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2493105207795 and 2493105207804.

It is not an unprimeable number, because it can be changed into a prime (2493105207841) 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 26 ways as a sum of consecutive naturals, for example, 89986699 + ... + 90014399.

Almost surely, 2^{2493105207849} is an apocalyptic number.

2493105207849 is the 1578957-th square number.

2493105207849 is the 789479-th centered octagonal number.

It is an amenable number.

2493105207849 is a deficient number, since it is larger than the sum of its proper divisors (1307693771310).

2493105207849 is an frugal number, since it uses more digits than its factorization.

2493105207849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55446 (or 27723 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 2493105207849 in words is "two trillion, four hundred ninety-three billion, one hundred five million, two hundred seven thousand, eight hundred forty-nine".