2772436973461 has 2 divisors, whose sum is σ = 2772436973462. Its totient is φ = 2772436973460.

The previous prime is 2772436973447. The next prime is 2772436973473. The reversal of 2772436973461 is 1643796342772.

2772436973461 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., 2231632638225 + 540804335236 = 1493865^2 + 735394^2 .

It is a cyclic number.

It is not a de Polignac number, because 2772436973461 - 2¹¹ = 2772436971413 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2772436973461.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2772436977461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1386218486730 + 1386218486731.

It is an arithmetic number, because the mean of its divisors is an integer number (1386218486731).

Almost surely, 2^{2772436973461} is an apocalyptic number.

It is an amenable number.

2772436973461 is a deficient number, since it is larger than the sum of its proper divisors (1).

2772436973461 is an equidigital number, since it uses as much as digits as its factorization.

2772436973461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 64012032, while the sum is 61.

The spelling of 2772436973461 in words is "two trillion, seven hundred seventy-two billion, four hundred thirty-six million, nine hundred seventy-three thousand, four hundred sixty-one".