2265830424 has 288 divisors, whose sum is σ = 7482056400. Its totient is φ = 610675200.

The previous prime is 2265830423. The next prime is 2265830453. The reversal of 2265830424 is 4240385622.

2265830424 is a `hidden beast` number, since 226 + 5 + 8 + 3 + 0 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265830423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9894342 + ... + 9894570.

Almost surely, 2^2265830424 is an apocalyptic number.

2265830424 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 2265830424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3741028200).

2265830424 is an abundant number, since it is smaller than the sum of its proper divisors (5216225976).

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

2265830424 is a wasteful number, since it uses less digits than its factorization.

2265830424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2265830424 is about 47600.7397421511. The cubic root of 2265830424 is about 1313.4366621157.

The spelling of 2265830424 in words is "two billion, two hundred sixty-five million, eight hundred thirty thousand, four hundred twenty-four".