2268426384 has 275 divisors, whose sum is σ = 7690882163. Its totient is φ = 648121824.

The previous prime is 2268426379. The next prime is 2268426389. The reversal of 2268426384 is 4836248622.

The square root of 2268426384 is 47628.

It is a perfect power (a square), and thus also a powerful number.

2268426384 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 4 + 2 + 638 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2268426379) and next prime (2268426389).

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

Its product of digits (884736) is a multiple of the sum of its prime divisors (12).

It is not an unprimeable number, because it can be changed into a prime (2268426389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 54 ways as a sum of consecutive naturals, for example, 324060909 + ... + 324060915.

Almost surely, 2^2268426384 is an apocalyptic number.

2268426384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2268426384 is the 47628-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2268426384

2268426384 is an abundant number, since it is smaller than the sum of its proper divisors (5422455779).

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

2268426384 is an frugal number, since it uses more digits than its factorization.

2268426384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 12 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The cubic root of 2268426384 is about 1313.9380717671.

The spelling of 2268426384 in words is "two billion, two hundred sixty-eight million, four hundred twenty-six thousand, three hundred eighty-four".