2742721641 has 75 divisors (see below), whose sum is σ = 4708184173. Its totient is φ = 1589983560.

The previous prime is 2742721561. The next prime is 2742721643. The reversal of 2742721641 is 1461272472.

The square root of 2742721641 is 52371.

It is a perfect power (a square), and thus also a powerful number.

2742721641 is a `hidden beast` number, since 2 + 7 + 4 + 2 + 7 + 2 + 1 + 641 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-2742721641 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2742721596 and 2742721605.

It is not an unprimeable number, because it can be changed into a prime (2742721643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 119248756 + ... + 119248778.

Almost surely, 2^2742721641 is an apocalyptic number.

2742721641 is the 52371-st square number.

2742721641 is the 26186-th centered octagonal number.

It is an amenable number.

2742721641 is a deficient number, since it is larger than the sum of its proper divisors (1965462532).

2742721641 is an frugal number, since it uses more digits than its factorization.

2742721641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 37 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The cubic root of 2742721641 is about 1399.7825582365.

Multiplying 2742721641 by its sum of digits (36), we get a square (98737979076 = 314226²).

The spelling of 2742721641 in words is "two billion, seven hundred forty-two million, seven hundred twenty-one thousand, six hundred forty-one".