2802613141441 has 2 divisors, whose sum is σ = 2802613141442. Its totient is φ = 2802613141440.

The previous prime is 2802613141387. The next prime is 2802613141457. The reversal of 2802613141441 is 1441413162082.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1853420851216 + 949192290225 = 1361404^2 + 974265^2 .

It is a cyclic number.

It is not a de Polignac number, because 2802613141441 - 2⁷ = 2802613141313 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2802613141441.

It is not a weakly prime, because it can be changed into another prime (2802613141481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1401306570720 + 1401306570721.

It is an arithmetic number, because the mean of its divisors is an integer number (1401306570721).

Almost surely, 2^{2802613141441} is an apocalyptic number.

It is an amenable number.

2802613141441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2802613141441 is an equidigital number, since it uses as much as digits as its factorization.

2802613141441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 2802613141441 in words is "two trillion, eight hundred two billion, six hundred thirteen million, one hundred forty-one thousand, four hundred forty-one".