2268864000 has 640 divisors, whose sum is σ = 9115666560. Its totient is φ = 552960000.

The previous prime is 2268863983. The next prime is 2268864019. The reversal of 2268864000 is 4688622.

2268864000 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 8 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 22463950 + ... + 22464050.

It is an arithmetic number, because the mean of its divisors is an integer number (14243229).

Almost surely, 2^2268864000 is an apocalyptic number.

2268864000 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 2268864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4557833280).

2268864000 is an abundant number, since it is smaller than the sum of its proper divisors (6846802560).

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

2268864000 is a wasteful number, since it uses less digits than its factorization.

2268864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2268864000 is about 47632.5938827606. The cubic root of 2268864000 is about 1314.0225596093.

The spelling of 2268864000 in words is "two billion, two hundred sixty-eight million, eight hundred sixty-four thousand".