2768338225 has 27 divisors (see below), whose sum is σ = 3652443777. Its totient is φ = 2081028480.

The previous prime is 2768338201. The next prime is 2768338229. The reversal of 2768338225 is 5228338672.

The square root of 2768338225 is 52615.

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

It can be written as a sum of positive squares in 4 ways, for example, as 64754209 + 2703584016 = 8047^2 + 51996^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2768338225 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2768338229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4471966 + ... + 4472584.

Almost surely, 2^2768338225 is an apocalyptic number.

2768338225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2768338225 is the 52615-th square number.

2768338225 is the 26308-th centered octagonal number.

It is an amenable number.

2768338225 is a deficient number, since it is larger than the sum of its proper divisors (884105552).

2768338225 is an frugal number, since it uses more digits than its factorization.

2768338225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 641 counting only the distinct ones).

The product of its digits is 967680, while the sum is 46.

The cubic root of 2768338225 is about 1404.1269762908.

The spelling of 2768338225 in words is "two billion, seven hundred sixty-eight million, three hundred thirty-eight thousand, two hundred twenty-five".