2265183360 has 512 divisors, whose sum is σ = 9279878400. Its totient is φ = 516096000.

The previous prime is 2265183329. The next prime is 2265183367. The reversal of 2265183360 is 633815622.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2265183367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3231010 + ... + 3231710.

Almost surely, 2^2265183360 is an apocalyptic number.

2265183360 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 2265183360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4639939200).

2265183360 is an abundant number, since it is smaller than the sum of its proper divisors (7014695040).

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

2265183360 is a wasteful number, since it uses less digits than its factorization.

2265183360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2265183360 is about 47593.9424717054. The cubic root of 2265183360 is about 1313.3116220883.

Adding to 2265183360 its reverse (633815622), we get a palindrome (2898998982).

The spelling of 2265183360 in words is "two billion, two hundred sixty-five million, one hundred eighty-three thousand, three hundred sixty".