2265985800 has 384 divisors, whose sum is σ = 8499456000. Its totient is φ = 554860800.

The previous prime is 2265985793. The next prime is 2265985807. The reversal of 2265985800 is 85895622.

2265985800 is a `hidden beast` number, since 2 + 2 + 6 + 598 + 58 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2265985793) and next prime (2265985807).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2265985807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11863705 + ... + 11863895.

It is an arithmetic number, because the mean of its divisors is an integer number (22134000).

Almost surely, 2^2265985800 is an apocalyptic number.

2265985800 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 2265985800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4249728000).

2265985800 is an abundant number, since it is smaller than the sum of its proper divisors (6233470200).

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

2265985800 is a wasteful number, since it uses less digits than its factorization.

2265985800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 2265985800 is about 47602.3717896493. The cubic root of 2265985800 is about 1313.4666837607.

The spelling of 2265985800 in words is "two billion, two hundred sixty-five million, nine hundred eighty-five thousand, eight hundred".