2216805408 has 144 divisors (see below), whose sum is σ = 6607167840. Its totient is φ = 731068416.

The previous prime is 2216805403. The next prime is 2216805421. The reversal of 2216805408 is 8045086122.

2216805408 is a `hidden beast` number, since 22 + 16 + 80 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2216805403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 752803 + ... + 755741.

It is an arithmetic number, because the mean of its divisors is an integer number (45883110).

Almost surely, 2^2216805408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2216805408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3303583920).

2216805408 is an abundant number, since it is smaller than the sum of its proper divisors (4390362432).

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

2216805408 is an equidigital number, since it uses as much as digits as its factorization.

2216805408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3061 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2216805408 is about 47082.9630333521. The cubic root of 2216805408 is about 1303.8947121635.

The spelling of 2216805408 in words is "two billion, two hundred sixteen million, eight hundred five thousand, four hundred eight".