2806802273441 has 2 divisors, whose sum is σ = 2806802273442. Its totient is φ = 2806802273440.

The previous prime is 2806802273393. The next prime is 2806802273491. The reversal of 2806802273441 is 1443722086082.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1644511288225 + 1162290985216 = 1282385^2 + 1078096^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2806802273441 is a prime.

It is a super-3 number, since 3×2806802273441³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (2806802273491) 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, 1403401136720 + 1403401136721.

It is an arithmetic number, because the mean of its divisors is an integer number (1403401136721).

Almost surely, 2^{2806802273441} is an apocalyptic number.

It is an amenable number.

2806802273441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2806802273441 is an equidigital number, since it uses as much as digits as its factorization.

2806802273441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1032192, while the sum is 47.

The spelling of 2806802273441 in words is "two trillion, eight hundred six billion, eight hundred two million, two hundred seventy-three thousand, four hundred forty-one".