2772137993 has 2 divisors, whose sum is σ = 2772137994. Its totient is φ = 2772137992.

The previous prime is 2772137971. The next prime is 2772138037. The reversal of 2772137993 is 3997312772.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2549442064 + 222695929 = 50492^2 + 14923^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2772137993 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2772137923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1386068996 + 1386068997.

It is an arithmetic number, because the mean of its divisors is an integer number (1386068997).

Almost surely, 2^2772137993 is an apocalyptic number.

It is an amenable number.

2772137993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2772137993 is an equidigital number, since it uses as much as digits as its factorization.

2772137993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1000188, while the sum is 50.

The square root of 2772137993 is about 52651.0967881962. The cubic root of 2772137993 is about 1404.7691085147.

The spelling of 2772137993 in words is "two billion, seven hundred seventy-two million, one hundred thirty-seven thousand, nine hundred ninety-three".