2226309120 has 864 divisors, whose sum is σ = 9831439800. Its totient is φ = 462422016.

The previous prime is 2226309037. The next prime is 2226309161. The reversal of 2226309120 is 219036222.

2226309120 is a `hidden beast` number, since 2 + 2 + 2 + 630 + 9 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2027160576 + 199148544 = 45024^2 + 14112^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76769266 + ... + 76769294.

Almost surely, 2^2226309120 is an apocalyptic number.

2226309120 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 2226309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4915719900).

2226309120 is an abundant number, since it is smaller than the sum of its proper divisors (7605130680).

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

2226309120 is a wasteful number, since it uses less digits than its factorization.

2226309120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2226309120 is about 47183.7802639848. The cubic root of 2226309120 is about 1305.7553736658.

The spelling of 2226309120 in words is "two billion, two hundred twenty-six million, three hundred nine thousand, one hundred twenty".