2772667829 has 2 divisors, whose sum is σ = 2772667830. Its totient is φ = 2772667828.

The previous prime is 2772667801. The next prime is 2772667847. The reversal of 2772667829 is 9287662772.

It is a happy number.

2772667829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1883733604 + 888934225 = 43402^2 + 29815^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2772667829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2772667129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1386333914 + 1386333915.

It is an arithmetic number, because the mean of its divisors is an integer number (1386333915).

Almost surely, 2^2772667829 is an apocalyptic number.

It is an amenable number.

2772667829 is a deficient number, since it is larger than the sum of its proper divisors (1).

2772667829 is an equidigital number, since it uses as much as digits as its factorization.

2772667829 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7112448, while the sum is 56.

The square root of 2772667829 is about 52656.1281238946. The cubic root of 2772667829 is about 1404.8586001914.

The spelling of 2772667829 in words is "two billion, seven hundred seventy-two million, six hundred sixty-seven thousand, eight hundred twenty-nine".