2265352320 has 576 divisors, whose sum is σ = 9279144000. Its totient is φ = 468357120.

The previous prime is 2265352291. The next prime is 2265352339. The reversal of 2265352320 is 232535622.

It is a super-3 number, since 3×2265352320³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11383581 + ... + 11383779.

It is an arithmetic number, because the mean of its divisors is an integer number (16109625).

Almost surely, 2^2265352320 is an apocalyptic number.

2265352320 is a gapful number since it is divisible by the number (20) 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 2265352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4639572000).

2265352320 is an abundant number, since it is smaller than the sum of its proper divisors (7013791680).

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

2265352320 is a wasteful number, since it uses less digits than its factorization.

2265352320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 2265352320 is about 47595.7174544097. The cubic root of 2265352320 is about 1313.3442745760.

Adding to 2265352320 its reverse (232535622), we get a palindrome (2497887942).

The spelling of 2265352320 in words is "two billion, two hundred sixty-five million, three hundred fifty-two thousand, three hundred twenty".