2772116073 has 6 divisors (see below), whose sum is σ = 4004167674. Its totient is φ = 1848077376.

The previous prime is 2772116057. The next prime is 2772116077. The reversal of 2772116073 is 3706112772.

2772116073 is a `hidden beast` number, since 27 + 7 + 21 + 1 + 607 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2650499289 + 121616784 = 51483^2 + 11028^2 .

It is not a de Polignac number, because 2772116073 - 2⁴ = 2772116057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2772116077) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 154006440 + ... + 154006457.

It is an arithmetic number, because the mean of its divisors is an integer number (667361279).

Almost surely, 2^2772116073 is an apocalyptic number.

It is an amenable number.

2772116073 is a deficient number, since it is larger than the sum of its proper divisors (1232051601).

2772116073 is a wasteful number, since it uses less digits than its factorization.

2772116073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308012903 (or 308012900 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 2772116073 is about 52650.8886249795. Note that the first 3 decimals coincide. The cubic root of 2772116073 is about 1404.7654058827.

The spelling of 2772116073 in words is "two billion, seven hundred seventy-two million, one hundred sixteen thousand, seventy-three".