2687871717729 has 27 divisors (see below), whose sum is σ = 4267606744947. Its totient is φ = 1628980372800.

The previous prime is 2687871717703. The next prime is 2687871717737. The reversal of 2687871717729 is 9277171787862.

The square root of 2687871717729 is 1639473.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2073090271329 + 614781446400 = 1439823^2 + 784080^2 .

It is not a de Polignac number, because 2687871717729 - 2¹¹ = 2687871715681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2687871715729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 54077769 + ... + 54127449.

Almost surely, 2^{2687871717729} is an apocalyptic number.

2687871717729 is the 1639473-rd square number.

2687871717729 is the 819737-th centered octagonal number.

It is an amenable number.

2687871717729 is a deficient number, since it is larger than the sum of its proper divisors (1579735027218).

2687871717729 is an frugal number, since it uses more digits than its factorization.

2687871717729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99390 (or 49695 counting only the distinct ones).

The product of its digits is 232339968, while the sum is 72.

The spelling of 2687871717729 in words is "two trillion, six hundred eighty-seven billion, eight hundred seventy-one million, seven hundred seventeen thousand, seven hundred twenty-nine".