2778832322289 has 9 divisors (see below), whose sum is σ = 4013876133579. Its totient is φ = 1852551547560.

The previous prime is 2778832322257. The next prime is 2778832322303. The reversal of 2778832322289 is 9822232388772.

It is a happy number.

The square root of 2778832322289 is 1666983.

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

2778832322289 is a `hidden beast` number, since 2 + 7 + 7 + 8 + 8 + 323 + 22 + 289 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1318746766689 + 1460085555600 = 1148367^2 + 1208340^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2778832322289 - 2⁵ = 2778832322257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2778832322489) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4723119 + ... + 5278779.

Almost surely, 2^{2778832322289} is an apocalyptic number.

2778832322289 is the 1666983-rd square number.

2778832322289 is the 833492-nd centered octagonal number.

It is an amenable number.

2778832322289 is a deficient number, since it is larger than the sum of its proper divisors (1235043811290).

2778832322289 is an frugal number, since it uses more digits than its factorization.

2778832322289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111328 (or 555664 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

It can be divided in two parts, 2778832 and 322289, that added together give a square (3101121 = 1761²).

The spelling of 2778832322289 in words is "two trillion, seven hundred seventy-eight billion, eight hundred thirty-two million, three hundred twenty-two thousand, two hundred eighty-nine".