2268123312 has 240 divisors, whose sum is σ = 7384884480. Its totient is φ = 587179008.

The previous prime is 2268123307. The next prime is 2268123317. The reversal of 2268123312 is 2133218622.

It is an interprime number because it is at equal distance from previous prime (2268123307) and next prime (2268123317).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2268123312.

It is not an unprimeable number, because it can be changed into a prime (2268123317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3349918 + ... + 3350594.

It is an arithmetic number, because the mean of its divisors is an integer number (30770352).

Almost surely, 2^2268123312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2268123312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692442240).

2268123312 is an abundant number, since it is smaller than the sum of its proper divisors (5116761168).

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

2268123312 is a wasteful number, since it uses less digits than its factorization.

2268123312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 761 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 2268123312 is about 47624.8182358736. The cubic root of 2268123312 is about 1313.8795531426.

The spelling of 2268123312 in words is "two billion, two hundred sixty-eight million, one hundred twenty-three thousand, three hundred twelve".