2731605676729 has 2 divisors, whose sum is σ = 2731605676730. Its totient is φ = 2731605676728.

The previous prime is 2731605676651. The next prime is 2731605676747. The reversal of 2731605676729 is 9276765061372.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1465019744400 + 1266585932329 = 1210380^2 + 1125427^2 .

It is a cyclic number.

It is not a de Polignac number, because 2731605676729 - 2¹⁷ = 2731605545657 is a prime.

It is not a weakly prime, because it can be changed into another prime (2731605676799) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1365802838364 + 1365802838365.

It is an arithmetic number, because the mean of its divisors is an integer number (1365802838365).

Almost surely, 2^{2731605676729} is an apocalyptic number.

It is an amenable number.

2731605676729 is a deficient number, since it is larger than the sum of its proper divisors (1).

2731605676729 is an equidigital number, since it uses as much as digits as its factorization.

2731605676729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40007520, while the sum is 61.

The spelling of 2731605676729 in words is "two trillion, seven hundred thirty-one billion, six hundred five million, six hundred seventy-six thousand, seven hundred twenty-nine".