2771010067693 has 32 divisors (see below), whose sum is σ = 3193195622400. Its totient is φ = 2355498351360.

The previous prime is 2771010067681. The next prime is 2771010067703. The reversal of 2771010067693 is 3967600101772.

2771010067693 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-2771010067693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2771010097693) 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 31 ways as a sum of consecutive naturals, for example, 607542133 + ... + 607546693.

It is an arithmetic number, because the mean of its divisors is an integer number (99787363200).

Almost surely, 2^{2771010067693} is an apocalyptic number.

It is an amenable number.

2771010067693 is a deficient number, since it is larger than the sum of its proper divisors (422185554707).

2771010067693 is a wasteful number, since it uses less digits than its factorization.

2771010067693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6097.

The product of its (nonzero) digits is 666792, while the sum is 49.

The spelling of 2771010067693 in words is "two trillion, seven hundred seventy-one billion, ten million, sixty-seven thousand, six hundred ninety-three".