2737724221361 has 2 divisors, whose sum is σ = 2737724221362. Its totient is φ = 2737724221360.

The previous prime is 2737724221339. The next prime is 2737724221409. The reversal of 2737724221361 is 1631224277372.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2373312789136 + 364411432225 = 1540556^2 + 603665^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2737724221361 is a prime.

It is not a weakly prime, because it can be changed into another prime (2737724221061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1368862110680 + 1368862110681.

It is an arithmetic number, because the mean of its divisors is an integer number (1368862110681).

Almost surely, 2^{2737724221361} is an apocalyptic number.

It is an amenable number.

2737724221361 is a deficient number, since it is larger than the sum of its proper divisors (1).

2737724221361 is an equidigital number, since it uses as much as digits as its factorization.

2737724221361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1185408, while the sum is 47.

The spelling of 2737724221361 in words is "two trillion, seven hundred thirty-seven billion, seven hundred twenty-four million, two hundred twenty-one thousand, three hundred sixty-one".