2216341008 has 320 divisors, whose sum is σ = 7618560000. Its totient is φ = 603542016.

The previous prime is 2216341003. The next prime is 2216341067. The reversal of 2216341008 is 8001436122.

2216341008 is a `hidden beast` number, since 2 + 21 + 634 + 1 + 0 + 0 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2216341003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11137293 + ... + 11137491.

It is an arithmetic number, because the mean of its divisors is an integer number (23808000).

Almost surely, 2^2216341008 is an apocalyptic number.

2216341008 is a gapful number since it is divisible by the number (28) 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 2216341008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809280000).

2216341008 is an abundant number, since it is smaller than the sum of its proper divisors (5402218992).

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

2216341008 is a wasteful number, since it uses less digits than its factorization.

2216341008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 367 counting only the distinct ones).

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

The square root of 2216341008 is about 47078.0310548349. The cubic root of 2216341008 is about 1303.8036545555.

The spelling of 2216341008 in words is "two billion, two hundred sixteen million, three hundred forty-one thousand, eight".