2741727145009 has 2 divisors, whose sum is σ = 2741727145010. Its totient is φ = 2741727145008.

The previous prime is 2741727145007. The next prime is 2741727145037. The reversal of 2741727145009 is 9005417271472.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2157511509409 + 584215635600 = 1468847^2 + 764340^2 .

It is a cyclic number.

It is not a de Polignac number, because 2741727145009 - 2¹ = 2741727145007 is a prime.

It is a super-2 number, since 2×2741727145009² (a number of 26 digits) contains 22 as substring.

Together with 2741727145007, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2741727145007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1370863572504 + 1370863572505.

It is an arithmetic number, because the mean of its divisors is an integer number (1370863572505).

Almost surely, 2^{2741727145009} is an apocalyptic number.

It is an amenable number.

2741727145009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2741727145009 is an equidigital number, since it uses as much as digits as its factorization.

2741727145009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 987840, while the sum is 49.

The spelling of 2741727145009 in words is "two trillion, seven hundred forty-one billion, seven hundred twenty-seven million, one hundred forty-five thousand, nine".