2780605217729 has 2 divisors, whose sum is σ = 2780605217730. Its totient is φ = 2780605217728.

The previous prime is 2780605217711. The next prime is 2780605217743. The reversal of 2780605217729 is 9277125060872.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1435299841600 + 1345305376129 = 1198040^2 + 1159873^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2780605217729 is a prime.

It is not a weakly prime, because it can be changed into another prime (2780605217029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1390302608864 + 1390302608865.

It is an arithmetic number, because the mean of its divisors is an integer number (1390302608865).

Almost surely, 2^{2780605217729} is an apocalyptic number.

It is an amenable number.

2780605217729 is a deficient number, since it is larger than the sum of its proper divisors (1).

2780605217729 is an equidigital number, since it uses as much as digits as its factorization.

2780605217729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5927040, while the sum is 56.

The spelling of 2780605217729 in words is "two trillion, seven hundred eighty billion, six hundred five million, two hundred seventeen thousand, seven hundred twenty-nine".