2265362200 has 96 divisors (see below), whose sum is σ = 5756952960. Its totient is φ = 825292800.

The previous prime is 2265362137. The next prime is 2265362213. The reversal of 2265362200 is 22635622.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94654 + ... + 116146.

It is an arithmetic number, because the mean of its divisors is an integer number (59968260).

Almost surely, 2^2265362200 is an apocalyptic number.

2265362200 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 2265362200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878476480).

2265362200 is an abundant number, since it is smaller than the sum of its proper divisors (3491590760).

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

2265362200 is a wasteful number, since it uses less digits than its factorization.

2265362200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21557 (or 21548 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 2265362200 is about 47595.8212451471. The cubic root of 2265362200 is about 1313.3461838923.

Adding to 2265362200 its reverse (22635622), we get a palindrome (2287997822).

The spelling of 2265362200 in words is "two billion, two hundred sixty-five million, three hundred sixty-two thousand, two hundred".