2279663568 has 320 divisors, whose sum is σ = 8146145280. Its totient is φ = 594335232.

The previous prime is 2279663563. The next prime is 2279663599. The reversal of 2279663568 is 8653669722.

2279663568 is a `hidden beast` number, since 2 + 2 + 79 + 6 + 6 + 3 + 568 = 666.

2279663568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2279663563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4048855 + ... + 4049417.

It is an arithmetic number, because the mean of its divisors is an integer number (25456704).

Almost surely, 2^2279663568 is an apocalyptic number.

2279663568 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 2279663568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4073072640).

2279663568 is an abundant number, since it is smaller than the sum of its proper divisors (5866481712).

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

2279663568 is a wasteful number, since it uses less digits than its factorization.

2279663568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 691 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 2279663568 is about 47745.8225188340. The cubic root of 2279663568 is about 1316.1041328279.

The spelling of 2279663568 in words is "two billion, two hundred seventy-nine million, six hundred sixty-three thousand, five hundred sixty-eight".