2218284090 has 128 divisors (see below), whose sum is σ = 6610947840. Its totient is φ = 524620800.

The previous prime is 2218284077. The next prime is 2218284097. The reversal of 2218284090 is 904828122.

2218284090 is a `hidden beast` number, since 221 + 8 + 28 + 409 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2218284097) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112662 + ... + 130878.

It is an arithmetic number, because the mean of its divisors is an integer number (51648030).

Almost surely, 2^2218284090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2218284090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3305473920).

2218284090 is an abundant number, since it is smaller than the sum of its proper divisors (4392663750).

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

2218284090 is a wasteful number, since it uses less digits than its factorization.

2218284090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18285 (or 18279 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2218284090 is about 47098.6633568300. The cubic root of 2218284090 is about 1304.1845612563.

The spelling of 2218284090 in words is "two billion, two hundred eighteen million, two hundred eighty-four thousand, ninety".