2268352800 has 216 divisors, whose sum is σ = 9141664896. Its totient is φ = 518469120.

The previous prime is 2268352783. The next prime is 2268352811. The reversal of 2268352800 is 82538622.

2268352800 is a `hidden beast` number, since 226 + 8 + 352 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27897 + ... + 72903.

Almost surely, 2^2268352800 is an apocalyptic number.

2268352800 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 2268352800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4570832448).

2268352800 is an abundant number, since it is smaller than the sum of its proper divisors (6873312096).

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

2268352800 is a wasteful number, since it uses less digits than its factorization.

2268352800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45040 (or 45024 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2268352800 is about 47627.2275069629. The cubic root of 2268352800 is about 1313.9238642875.

The spelling of 2268352800 in words is "two billion, two hundred sixty-eight million, three hundred fifty-two thousand, eight hundred".