2265452672 has 72 divisors (see below), whose sum is σ = 5258806605. Its totient is φ = 969292800.

The previous prime is 2265452647. The next prime is 2265452681. The reversal of 2265452672 is 2762545622.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1962135616 + 303317056 = 44296^2 + 17416^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33656.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3769172 + ... + 3769772.

Almost surely, 2^2265452672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2265452672

2265452672 is an abundant number, since it is smaller than the sum of its proper divisors (2993353933).

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

2265452672 is an frugal number, since it uses more digits than its factorization.

2265452672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 610 counting only the distinct ones).

The product of its digits is 403200, while the sum is 41.

The square root of 2265452672 is about 47596.7716552289. The cubic root of 2265452672 is about 1313.3636674061.

The spelling of 2265452672 in words is "two billion, two hundred sixty-five million, four hundred fifty-two thousand, six hundred seventy-two".