2216442240 has 192 divisors, whose sum is σ = 7734504960. Its totient is φ = 584810496.

The previous prime is 2216442211. The next prime is 2216442257. The reversal of 2216442240 is 422446122.

2216442240 is a `hidden beast` number, since 2 + 216 + 442 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 556737 + ... + 560703.

It is an arithmetic number, because the mean of its divisors is an integer number (40283880).

Almost surely, 2^2216442240 is an apocalyptic number.

2216442240 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 2216442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867252480).

2216442240 is an abundant number, since it is smaller than the sum of its proper divisors (5518062720).

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

2216442240 is a wasteful number, since it uses less digits than its factorization.

2216442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4089 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2216442240 is about 47079.1061937246. The cubic root of 2216442240 is about 1303.8235047864.

Adding to 2216442240 its reverse (422446122), we get a palindrome (2638888362).

The spelling of 2216442240 in words is "two billion, two hundred sixteen million, four hundred forty-two thousand, two hundred forty".