2771711712 has 144 divisors (see below), whose sum is σ = 9827056512. Its totient is φ = 719919360.

The previous prime is 2771711707. The next prime is 2771711713. The reversal of 2771711712 is 2171171772.

It is a happy number.

2771711712 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2771711713) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40318 + ... + 84669.

It is an arithmetic number, because the mean of its divisors is an integer number (68243448).

Almost surely, 2^2771711712 is an apocalyptic number.

2771711712 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2771711712 is an abundant number, since it is smaller than the sum of its proper divisors (7055344800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2771711712 is a wasteful number, since it uses less digits than its factorization.

2771711712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125021 (or 125010 counting only the distinct ones).

The product of its digits is 9604, while the sum is 36.

The square root of 2771711712 is about 52647.0484642777. The cubic root of 2771711712 is about 1404.6970994638.

The spelling of 2771711712 in words is "two billion, seven hundred seventy-one million, seven hundred eleven thousand, seven hundred twelve".