2233820160 has 704 divisors, whose sum is σ = 9408994560. Its totient is φ = 495452160.

The previous prime is 2233820159. The next prime is 2233820231. The reversal of 2233820160 is 610283322.

2233820160 is a `hidden beast` number, since 223 + 382 + 0 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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

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, 19768264 + ... + 19768376.

Almost surely, 2^2233820160 is an apocalyptic number.

2233820160 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 2233820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704497280).

2233820160 is an abundant number, since it is smaller than the sum of its proper divisors (7175174400).

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

2233820160 is a wasteful number, since it uses less digits than its factorization.

2233820160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2233820160 is about 47263.3066976910. The cubic root of 2233820160 is about 1307.2221618871. Note that the first 3 decimals are identical.

The spelling of 2233820160 in words is "two billion, two hundred thirty-three million, eight hundred twenty thousand, one hundred sixty".