2265659424 has 240 divisors, whose sum is σ = 7666420608. Its totient is φ = 642981888.

The previous prime is 2265659401. The next prime is 2265659437. The reversal of 2265659424 is 4249565622.

2265659424 is a `hidden beast` number, since 2 + 2 + 6 + 56 + 594 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2265659424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3501469 + ... + 3502115.

Almost surely, 2^2265659424 is an apocalyptic number.

2265659424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2265659424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3833210304).

2265659424 is an abundant number, since it is smaller than the sum of its proper divisors (5400761184).

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

2265659424 is a wasteful number, since it uses less digits than its factorization.

2265659424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 852 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 2265659424 is about 47598.9435176874. The cubic root of 2265659424 is about 1313.4036200255.

The spelling of 2265659424 in words is "two billion, two hundred sixty-five million, six hundred fifty-nine thousand, four hundred twenty-four".