2711140671329 has 2 divisors, whose sum is σ = 2711140671330. Its totient is φ = 2711140671328.

The previous prime is 2711140671251. The next prime is 2711140671383. The reversal of 2711140671329 is 9231760411172.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2305696476304 + 405444195025 = 1518452^2 + 636745^2 .

It is a cyclic number.

It is not a de Polignac number, because 2711140671329 - 2¹⁶ = 2711140605793 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2711140671329.

It is not a weakly prime, because it can be changed into another prime (2711140671829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1355570335664 + 1355570335665.

It is an arithmetic number, because the mean of its divisors is an integer number (1355570335665).

Almost surely, 2^{2711140671329} is an apocalyptic number.

It is an amenable number.

2711140671329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2711140671329 is an equidigital number, since it uses as much as digits as its factorization.

2711140671329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 127008, while the sum is 44.

The spelling of 2711140671329 in words is "two trillion, seven hundred eleven billion, one hundred forty million, six hundred seventy-one thousand, three hundred twenty-nine".