2268341280 has 384 divisors, whose sum is σ = 8550178560. Its totient is φ = 559595520.

The previous prime is 2268341267. The next prime is 2268341287. The reversal of 2268341280 is 821438622.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2268341287) 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, 4920250 + ... + 4920710.

It is an arithmetic number, because the mean of its divisors is an integer number (22266090).

Almost surely, 2^2268341280 is an apocalyptic number.

2268341280 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 2268341280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4275089280).

2268341280 is an abundant number, since it is smaller than the sum of its proper divisors (6281837280).

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

2268341280 is a wasteful number, since it uses less digits than its factorization.

2268341280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2268341280 is about 47627.1065675840. The cubic root of 2268341280 is about 1313.9216399967.

The spelling of 2268341280 in words is "two billion, two hundred sixty-eight million, three hundred forty-one thousand, two hundred eighty".