2268892080 has 960 divisors, whose sum is σ = 10473079680. Its totient is φ = 445906944.

The previous prime is 2268892079. The next prime is 2268892081. The reversal of 2268892080 is 802988622.

It is an interprime number because it is at equal distance from previous prime (2268892079) and next prime (2268892081).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (2268892081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23390592 + ... + 23390688.

It is an arithmetic number, because the mean of its divisors is an integer number (10909458).

Almost surely, 2^2268892080 is an apocalyptic number.

2268892080 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 2268892080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5236539840).

2268892080 is an abundant number, since it is smaller than the sum of its proper divisors (8204187600).

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

2268892080 is a wasteful number, since it uses less digits than its factorization.

2268892080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 2268892080 is about 47632.8886379989. Note that the first 3 decimals coincide. The cubic root of 2268892080 is about 1314.0279804721.

The spelling of 2268892080 in words is "two billion, two hundred sixty-eight million, eight hundred ninety-two thousand, eighty".