2226381120 has 224 divisors, whose sum is σ = 7919923200. Its totient is φ = 588736512.

The previous prime is 2226381103. The next prime is 2226381121. The reversal of 2226381120 is 211836222.

2226381120 is a `hidden beast` number, since 2 + 2 + 2 + 638 + 1 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226381121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1096266 + ... + 1098294.

It is an arithmetic number, because the mean of its divisors is an integer number (35356800).

Almost surely, 2^2226381120 is an apocalyptic number.

2226381120 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 2226381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959961600).

2226381120 is an abundant number, since it is smaller than the sum of its proper divisors (5693542080).

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

2226381120 is a wasteful number, since it uses less digits than its factorization.

2226381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2226381120 is about 47184.5432318678. The cubic root of 2226381120 is about 1305.7694497844.

The spelling of 2226381120 in words is "two billion, two hundred twenty-six million, three hundred eighty-one thousand, one hundred twenty".