2265710800 has 60 divisors (see below), whose sum is σ = 5532665356. Its totient is φ = 891417600.

The previous prime is 2265710791. The next prime is 2265710809. The reversal of 2265710800 is 80175622.

It is an interprime number because it is at equal distance from previous prime (2265710791) and next prime (2265710809).

It can be written as a sum of positive squares in 6 ways, for example, as 32581264 + 2233129536 = 5708^2 + 47256^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265710809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22029 + ... + 70828.

Almost surely, 2^2265710800 is an apocalyptic number.

2265710800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2265710800 is an abundant number, since it is smaller than the sum of its proper divisors (3266954556).

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

2265710800 is a wasteful number, since it uses less digits than its factorization.

2265710800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92936 (or 92925 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 2265710800 is about 47599.4831904717. The cubic root of 2265710800 is about 1313.4135475126.

The spelling of 2265710800 in words is "two billion, two hundred sixty-five million, seven hundred ten thousand, eight hundred".