2730300032729 has 2 divisors, whose sum is σ = 2730300032730. Its totient is φ = 2730300032728.

The previous prime is 2730300032659. The next prime is 2730300032731. The reversal of 2730300032729 is 9272300030372.

2730300032729 is digitally balanced in base 2, 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., 1715122879129 + 1015177153600 = 1309627^2 + 1007560^2 .

It is a cyclic number.

It is not a de Polignac number, because 2730300032729 - 2²⁸ = 2730031597273 is a prime.

Together with 2730300032731, 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 = 2730300032692 and 2730300032701.

It is not a weakly prime, because it can be changed into another prime (2730300031729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1365150016364 + 1365150016365.

It is an arithmetic number, because the mean of its divisors is an integer number (1365150016365).

Almost surely, 2^{2730300032729} is an apocalyptic number.

It is an amenable number.

2730300032729 is a deficient number, since it is larger than the sum of its proper divisors (1).

2730300032729 is an equidigital number, since it uses as much as digits as its factorization.

2730300032729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 95256, while the sum is 38.

The spelling of 2730300032729 in words is "two trillion, seven hundred thirty billion, three hundred million, thirty-two thousand, seven hundred twenty-nine".