2741606311681 has 2 divisors, whose sum is σ = 2741606311682. Its totient is φ = 2741606311680.

The previous prime is 2741606311651. The next prime is 2741606311699. The reversal of 2741606311681 is 1861136061472.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2704051360000 + 37554951681 = 1644400^2 + 193791^2 .

It is a cyclic number.

It is not a de Polignac number, because 2741606311681 - 2²¹ = 2741604214529 is a prime.

It is a super-2 number, since 2×2741606311681² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2741606311651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1370803155840 + 1370803155841.

It is an arithmetic number, because the mean of its divisors is an integer number (1370803155841).

Almost surely, 2^{2741606311681} is an apocalyptic number.

It is an amenable number.

2741606311681 is a deficient number, since it is larger than the sum of its proper divisors (1).

2741606311681 is an equidigital number, since it uses as much as digits as its factorization.

2741606311681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 2741606311681 in words is "two trillion, seven hundred forty-one billion, six hundred six million, three hundred eleven thousand, six hundred eighty-one".