2772897581977 has 2 divisors, whose sum is σ = 2772897581978. Its totient is φ = 2772897581976.

The previous prime is 2772897581969. The next prime is 2772897582017. The reversal of 2772897581977 is 7791857982772.

2772897581977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2229037056016 + 543860525961 = 1492996^2 + 737469^2 .

It is a cyclic number.

It is not a de Polignac number, because 2772897581977 - 2³ = 2772897581969 is a prime.

It is a super-2 number, since 2×2772897581977² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2772897581897 and 2772897581906.

It is not a weakly prime, because it can be changed into another prime (2772897581947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1386448790988 + 1386448790989.

It is an arithmetic number, because the mean of its divisors is an integer number (1386448790989).

Almost surely, 2^{2772897581977} is an apocalyptic number.

It is an amenable number.

2772897581977 is a deficient number, since it is larger than the sum of its proper divisors (1).

2772897581977 is an equidigital number, since it uses as much as digits as its factorization.

2772897581977 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1742549760, while the sum is 79.

The spelling of 2772897581977 in words is "two trillion, seven hundred seventy-two billion, eight hundred ninety-seven million, five hundred eighty-one thousand, nine hundred seventy-seven".