2229768000 has 672 divisors, whose sum is σ = 8769266688. Its totient is φ = 559872000.

The previous prime is 2229767987. The next prime is 2229768007. The reversal of 2229768000 is 8679222.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2229768007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60263982 + ... + 60264018.

It is an arithmetic number, because the mean of its divisors is an integer number (13049504).

Almost surely, 2^2229768000 is an apocalyptic number.

2229768000 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 2229768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4384633344).

2229768000 is an abundant number, since it is smaller than the sum of its proper divisors (6539498688).

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

2229768000 is an equidigital number, since it uses as much as digits as its factorization.

2229768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2229768000 is about 47220.4193119883. The cubic root of 2229768000 is about 1306.4312477909.

The spelling of 2229768000 in words is "two billion, two hundred twenty-nine million, seven hundred sixty-eight thousand".