2711140671357 has 48 divisors (see below), whose sum is σ = 4165507185840. Its totient is φ = 1693293152256.

The previous prime is 2711140671329. The next prime is 2711140671383. The reversal of 2711140671357 is 7531760411172.

2711140671357 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 541782851481 + 2169357819876 = 736059^2 + 1472874^2 .

It is not a de Polignac number, because 2711140671357 - 2⁸ = 2711140671101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2711140675357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284390563 + ... + 284400095.

It is an arithmetic number, because the mean of its divisors is an integer number (86781399705).

Almost surely, 2^{2711140671357} is an apocalyptic number.

It is an amenable number.

2711140671357 is a deficient number, since it is larger than the sum of its proper divisors (1454366514483).

2711140671357 is a wasteful number, since it uses less digits than its factorization.

2711140671357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17902 (or 17899 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 2711140671357 in words is "two trillion, seven hundred eleven billion, one hundred forty million, six hundred seventy-one thousand, three hundred fifty-seven".