2729709686305 has 12 divisors (see below), whose sum is σ = 3810451888980. Its totient is φ = 1871800927584.

The previous prime is 2729709686299. The next prime is 2729709686309. The reversal of 2729709686305 is 5036869079272.

It can be written as a sum of positive squares in 2 ways, for example, as 283560510016 + 2446149176289 = 532504^2 + 1564017^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2729709686305 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2729709686309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5570835850 + ... + 5570836339.

It is an arithmetic number, because the mean of its divisors is an integer number (317537657415).

Almost surely, 2^{2729709686305} is an apocalyptic number.

It is an amenable number.

2729709686305 is a deficient number, since it is larger than the sum of its proper divisors (1080742202675).

2729709686305 is a wasteful number, since it uses less digits than its factorization.

2729709686305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11141672208 (or 11141672201 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 64.

The spelling of 2729709686305 in words is "two trillion, seven hundred twenty-nine billion, seven hundred nine million, six hundred eighty-six thousand, three hundred five".