2264864320 has 56 divisors (see below), whose sum is σ = 5398846200. Its totient is φ = 904998912.

The previous prime is 2264864269. The next prime is 2264864323. The reversal of 2264864320 is 234684622.

It can be written as a sum of positive squares in 4 ways, for example, as 627264 + 2264237056 = 792^2 + 47584^2 .

It is a super-2 number, since 2×2264864320² = 10259220776018124800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2264864320.

It is not an unprimeable number, because it can be changed into a prime (2264864323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 358146 + ... + 364414.

Almost surely, 2^2264864320 is an apocalyptic number.

2264864320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2264864320 is an abundant number, since it is smaller than the sum of its proper divisors (3133981880).

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

2264864320 is a wasteful number, since it uses less digits than its factorization.

2264864320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7415 (or 7405 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The square root of 2264864320 is about 47590.5906666433. The cubic root of 2264864320 is about 1313.2499613533.

It can be divided in two parts, 22648 and 64320, that added together give a palindrome (86968).

The spelling of 2264864320 in words is "two billion, two hundred sixty-four million, eight hundred sixty-four thousand, three hundred twenty".