2731605676649 has 2 divisors, whose sum is σ = 2731605676650. Its totient is φ = 2731605676648.

The previous prime is 2731605676627. The next prime is 2731605676651. The reversal of 2731605676649 is 9466765061372.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2724860011225 + 6745665424 = 1650715^2 + 82132^2 .

It is a cyclic number.

It is not a de Polignac number, because 2731605676649 - 2⁴⁰ = 1632094048873 is a prime.

It is a super-2 number, since 2×2731605676649² (a number of 26 digits) contains 22 as substring.

Together with 2731605676651, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2731605676591 and 2731605676600.

It is not a weakly prime, because it can be changed into another prime (2731605676549) 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 as a sum of consecutive naturals, namely, 1365802838324 + 1365802838325.

It is an arithmetic number, because the mean of its divisors is an integer number (1365802838325).

Almost surely, 2^{2731605676649} is an apocalyptic number.

It is an amenable number.

2731605676649 is a deficient number, since it is larger than the sum of its proper divisors (1).

2731605676649 is an equidigital number, since it uses as much as digits as its factorization.

2731605676649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68584320, while the sum is 62.

The spelling of 2731605676649 in words is "two trillion, seven hundred thirty-one billion, six hundred five million, six hundred seventy-six thousand, six hundred forty-nine".