2268648000 has 392 divisors, whose sum is σ = 8445261240. Its totient is φ = 603417600.

The previous prime is 2268647981. The next prime is 2268648017. The reversal of 2268648000 is 8468622.

2268648000 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 648 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 269485056 + 1999162944 = 16416^2 + 44712^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5831806 + ... + 5832194.

Almost surely, 2^2268648000 is an apocalyptic number.

2268648000 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 2268648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4222630620).

2268648000 is an abundant number, since it is smaller than the sum of its proper divisors (6176613240).

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

2268648000 is an frugal number, since it uses more digits than its factorization.

2268648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 399 counting only the distinct ones).

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

The square root of 2268648000 is about 47630.3264737919. The cubic root of 2268648000 is about 1313.9808591695.

The spelling of 2268648000 in words is "two billion, two hundred sixty-eight million, six hundred forty-eight thousand".