2741729686544 has 40 divisors (see below), whose sum is σ = 5399443502040. Its totient is φ = 1348327065600.

The previous prime is 2741729686541. The next prime is 2741729686547. The reversal of 2741729686544 is 4456869271472.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2741729686541) and next prime (2741729686547).

It can be written as a sum of positive squares in 4 ways, for example, as 5060899600 + 2736668786944 = 71140^2 + 1654288^2 .

It is not an unprimeable number, because it can be changed into a prime (2741729686541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25166462 + ... + 25275170.

It is an arithmetic number, because the mean of its divisors is an integer number (134986087551).

Almost surely, 2^{2741729686544} is an apocalyptic number.

It is an amenable number.

2741729686544 is a deficient number, since it is larger than the sum of its proper divisors (2657713815496).

2741729686544 is a wasteful number, since it uses less digits than its factorization.

2741729686544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134619 (or 134613 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 65.

The spelling of 2741729686544 in words is "two trillion, seven hundred forty-one billion, seven hundred twenty-nine million, six hundred eighty-six thousand, five hundred forty-four".