2229224760 has 256 divisors, whose sum is σ = 8553600000. Its totient is φ = 505861632.

The previous prime is 2229224749. The next prime is 2229224771. The reversal of 2229224760 is 674229222.

It is an interprime number because it is at equal distance from previous prime (2229224749) and next prime (2229224771).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1125451 + ... + 1127429.

It is an arithmetic number, because the mean of its divisors is an integer number (33412500).

Almost surely, 2^2229224760 is an apocalyptic number.

2229224760 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 2229224760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4276800000).

2229224760 is an abundant number, since it is smaller than the sum of its proper divisors (6324375240).

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

2229224760 is a wasteful number, since it uses less digits than its factorization.

2229224760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2229224760 is about 47214.6667890392. Note that the first 3 decimals coincide. The cubic root of 2229224760 is about 1306.3251435752.

The spelling of 2229224760 in words is "two billion, two hundred twenty-nine million, two hundred twenty-four thousand, seven hundred sixty".