2263568328 has 252 divisors, whose sum is σ = 7486399665. Its totient is φ = 639467136.

The previous prime is 2263568327. The next prime is 2263568341. The reversal of 2263568328 is 8238653622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2263568328 is a `hidden beast` number, since 2 + 2 + 63 + 568 + 3 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2023380324 + 240188004 = 44982^2 + 15498^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33642.

Its product of digits (829440) is a multiple of the sum of its prime factors (216).

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (2263568327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 25433308 + ... + 25433396.

Almost surely, 2^2263568328 is an apocalyptic number.

2263568328 is a gapful number since it is divisible by the number (28) 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 2263568328

2263568328 is an abundant number, since it is smaller than the sum of its proper divisors (5222831337).

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

2263568328 is an frugal number, since it uses more digits than its factorization.

2263568328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 101 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 2263568328 is about 47576.9726653557. The cubic root of 2263568328 is about 1312.9994259368. Note that the first 3 decimals are identical.

The spelling of 2263568328 in words is "two billion, two hundred sixty-three million, five hundred sixty-eight thousand, three hundred twenty-eight".