2784249320449 has 9 divisors (see below), whose sum is σ = 2795088769603. Its totient is φ = 2773451764552.

The previous prime is 2784249320387. The next prime is 2784249320473. The reversal of 2784249320449 is 9440239424872.

The square root of 2784249320449 is 1668607.

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

It can be written as a sum of positive squares in only one way, i.e., 183189992049 + 2601059328400 = 428007^2 + 1612780^2 .

It is not a de Polignac number, because 2784249320449 - 2²⁹ = 2783712449537 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2784249320393 and 2784249320402.

It is not an unprimeable number, because it can be changed into a prime (2784249360449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 448852182 + ... + 448858384.

Almost surely, 2^{2784249320449} is an apocalyptic number.

2784249320449 is the 1668607-th square number.

2784249320449 is the 834304-th centered octagonal number.

It is an amenable number.

2784249320449 is a deficient number, since it is larger than the sum of its proper divisors (10839449154).

2784249320449 is an frugal number, since it uses more digits than its factorization.

2784249320449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12944 (or 6472 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 58.

The spelling of 2784249320449 in words is "two trillion, seven hundred eighty-four billion, two hundred forty-nine million, three hundred twenty thousand, four hundred forty-nine".