2288079360 has 320 divisors, whose sum is σ = 9290476800. Its totient is φ = 522878976.

The previous prime is 2288079349. The next prime is 2288079379. The reversal of 2288079360 is 639708822.

2288079360 is a `hidden beast` number, since 2 + 288 + 0 + 7 + 9 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 481476 + ... + 486204.

It is an arithmetic number, because the mean of its divisors is an integer number (29032740).

Almost surely, 2^2288079360 is an apocalyptic number.

2288079360 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 2288079360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645238400).

2288079360 is an abundant number, since it is smaller than the sum of its proper divisors (7002397440).

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

2288079360 is an equidigital number, since it uses as much as digits as its factorization.

2288079360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4768 (or 4746 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2288079360 is about 47833.8725172863. The cubic root of 2288079360 is about 1317.7216897504.

The spelling of 2288079360 in words is "two billion, two hundred eighty-eight million, seventy-nine thousand, three hundred sixty".