2778000000241 has 2 divisors, whose sum is σ = 2778000000242. Its totient is φ = 2778000000240.

The previous prime is 2778000000211. The next prime is 2778000000263. The reversal of 2778000000241 is 1420000008772.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2507459582016 + 270540418225 = 1583496^2 + 520135^2 .

It is a cyclic number.

It is not a de Polignac number, because 2778000000241 - 2²⁵ = 2777966445809 is a prime.

It is not a weakly prime, because it can be changed into another prime (2778000000211) 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, 1389000000120 + 1389000000121.

It is an arithmetic number, because the mean of its divisors is an integer number (1389000000121).

Almost surely, 2^{2778000000241} is an apocalyptic number.

It is an amenable number.

2778000000241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2778000000241 is an equidigital number, since it uses as much as digits as its factorization.

2778000000241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6272, while the sum is 31.

The spelling of 2778000000241 in words is "two trillion, seven hundred seventy-eight billion, two hundred forty-one", and thus it is an aban number.