2279124644329 has 15 divisors (see below), whose sum is σ = 2469321475043. Its totient is φ = 2103571854384.

The previous prime is 2279124644267. The next prime is 2279124644339. The reversal of 2279124644329 is 9234464219722.

The square root of 2279124644329 is 1509677.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2138160440025 + 140964204304 = 1462245^2 + 375452^2 .

It is not a de Polignac number, because 2279124644329 - 2¹⁹ = 2279124120041 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2279124644329.

It is not an unprimeable number, because it can be changed into a prime (2279124644339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 255130947 + ... + 255139879.

Almost surely, 2^{2279124644329} is an apocalyptic number.

2279124644329 is the 1509677-th square number.

2279124644329 is the 754839-th centered octagonal number.

It is an amenable number.

2279124644329 is a deficient number, since it is larger than the sum of its proper divisors (190196830714).

2279124644329 is an frugal number, since it uses more digits than its factorization.

2279124644329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17918 (or 8946 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 55.

The spelling of 2279124644329 in words is "two trillion, two hundred seventy-nine billion, one hundred twenty-four million, six hundred forty-four thousand, three hundred twenty-nine".