2229145920 has 336 divisors, whose sum is σ = 8054766720. Its totient is φ = 586745856.

The previous prime is 2229145913. The next prime is 2229145937. The reversal of 2229145920 is 295419222.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8475709 + ... + 8475971.

It is an arithmetic number, because the mean of its divisors is an integer number (23972520).

Almost surely, 2^2229145920 is an apocalyptic number.

2229145920 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 2229145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4027383360).

2229145920 is an abundant number, since it is smaller than the sum of its proper divisors (5825620800).

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

2229145920 is a wasteful number, since it uses less digits than its factorization.

2229145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2229145920 is about 47213.8318716031. The cubic root of 2229145920 is about 1306.3097433203.

The spelling of 2229145920 in words is "two billion, two hundred twenty-nine million, one hundred forty-five thousand, nine hundred twenty".