2738213337649 has 2 divisors, whose sum is σ = 2738213337650. Its totient is φ = 2738213337648.

The previous prime is 2738213337589. The next prime is 2738213337679. The reversal of 2738213337649 is 9467333128372.

2738213337649 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2428632377649 + 309580960000 = 1558407^2 + 556400^2 .

It is a cyclic number.

It is not a de Polignac number, because 2738213337649 - 2⁷ = 2738213337521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2738213337593 and 2738213337602.

It is not a weakly prime, because it can be changed into another prime (2738213337679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1369106668824 + 1369106668825.

It is an arithmetic number, because the mean of its divisors is an integer number (1369106668825).

Almost surely, 2^{2738213337649} is an apocalyptic number.

It is an amenable number.

2738213337649 is a deficient number, since it is larger than the sum of its proper divisors (1).

2738213337649 is an equidigital number, since it uses as much as digits as its factorization.

2738213337649 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27433728, while the sum is 58.

The spelling of 2738213337649 in words is "two trillion, seven hundred thirty-eight billion, two hundred thirteen million, three hundred thirty-seven thousand, six hundred forty-nine".