2722256240777 has 2 divisors, whose sum is σ = 2722256240778. Its totient is φ = 2722256240776.

The previous prime is 2722256240729. The next prime is 2722256240789. The reversal of 2722256240777 is 7770426522272.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2350858629001 + 371397611776 = 1533251^2 + 609424^2 .

It is a cyclic number.

It is not a de Polignac number, because 2722256240777 - 2¹⁴ = 2722256224393 is a prime.

It is not a weakly prime, because it can be changed into another prime (2722256260777) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1361128120388 + 1361128120389.

It is an arithmetic number, because the mean of its divisors is an integer number (1361128120389).

Almost surely, 2^{2722256240777} is an apocalyptic number.

It is an amenable number.

2722256240777 is a deficient number, since it is larger than the sum of its proper divisors (1).

2722256240777 is an equidigital number, since it uses as much as digits as its factorization.

2722256240777 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9219840, while the sum is 53.

The spelling of 2722256240777 in words is "two trillion, seven hundred twenty-two billion, two hundred fifty-six million, two hundred forty thousand, seven hundred seventy-seven".