2268088320 has 384 divisors, whose sum is σ = 7939451520. Its totient is φ = 550502400.

The previous prime is 2268088297. The next prime is 2268088327. The reversal of 2268088320 is 238808622.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268088327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22456270 + ... + 22456370.

It is an arithmetic number, because the mean of its divisors is an integer number (20675655).

Almost surely, 2^2268088320 is an apocalyptic number.

2268088320 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 2268088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3969725760).

2268088320 is an abundant number, since it is smaller than the sum of its proper divisors (5671363200).

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

2268088320 is a wasteful number, since it uses less digits than its factorization.

2268088320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 2268088320 is about 47624.4508629758. The cubic root of 2268088320 is about 1313.8727963804.

The spelling of 2268088320 in words is "two billion, two hundred sixty-eight million, eighty-eight thousand, three hundred twenty".