2265580800 has 432 divisors, whose sum is σ = 9499530880. Its totient is φ = 517570560.

The previous prime is 2265580789. The next prime is 2265580817. The reversal of 2265580800 is 80855622.

2265580800 is a `hidden beast` number, since 2 + 26 + 558 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×2265580800² = 10265712722657280000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1208664 + ... + 1210536.

Almost surely, 2^2265580800 is an apocalyptic number.

2265580800 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 2265580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749765440).

2265580800 is an abundant number, since it is smaller than the sum of its proper divisors (7233950080).

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

2265580800 is a wasteful number, since it uses less digits than its factorization.

2265580800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2265580800 is about 47598.1176098383. The cubic root of 2265580800 is about 1313.3884270623.

The spelling of 2265580800 in words is "two billion, two hundred sixty-five million, five hundred eighty thousand, eight hundred".