2182864412304 has 45 divisors (see below), whose sum is σ = 6109038216489. Its totient is φ = 727615560960.

The previous prime is 2182864412297. The next prime is 2182864412321. The reversal of 2182864412304 is 4032144682812.

The square root of 2182864412304 is 1477452.

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

2182864412304 is a `hidden beast` number, since 2 + 18 + 286 + 44 + 12 + 304 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1902049205904 + 280815206400 = 1379148^2 + 529920^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2182864412304.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17667864 + ... + 17790984.

Almost surely, 2^{2182864412304} is an apocalyptic number.

2182864412304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2182864412304 is the 1477452-nd square number.

It is an amenable number.

2182864412304 is an abundant number, since it is smaller than the sum of its proper divisors (3926173804185).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2182864412304 is an frugal number, since it uses more digits than its factorization.

2182864412304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246256 (or 123126 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 2182864412304 in words is "two trillion, one hundred eighty-two billion, eight hundred sixty-four million, four hundred twelve thousand, three hundred four".