2766004015409 has 2 divisors, whose sum is σ = 2766004015410. Its totient is φ = 2766004015408.

The previous prime is 2766004015363. The next prime is 2766004015429. The reversal of 2766004015409 is 9045104006672.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1658163563809 + 1107840451600 = 1287697^2 + 1052540^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2766004015409 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2766004015409.

It is not a weakly prime, because it can be changed into another prime (2766004015429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1383002007704 + 1383002007705.

It is an arithmetic number, because the mean of its divisors is an integer number (1383002007705).

Almost surely, 2^{2766004015409} is an apocalyptic number.

It is an amenable number.

2766004015409 is a deficient number, since it is larger than the sum of its proper divisors (1).

2766004015409 is an equidigital number, since it uses as much as digits as its factorization.

2766004015409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 2766004015409 in words is "two trillion, seven hundred sixty-six billion, four million, fifteen thousand, four hundred nine".