2210004216 has 256 divisors, whose sum is σ = 7498137600. Its totient is φ = 588736512.

The previous prime is 2210004211. The next prime is 2210004217. The reversal of 2210004216 is 6124000122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210004211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3264070 + ... + 3264746.

It is an arithmetic number, because the mean of its divisors is an integer number (29289600).

Almost surely, 2^2210004216 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 2210004216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749068800).

2210004216 is an abundant number, since it is smaller than the sum of its proper divisors (5288133384).

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

2210004216 is a wasteful number, since it uses less digits than its factorization.

2210004216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2210004216 is about 47010.6819350666. The cubic root of 2210004216 is about 1302.5598900160.

Adding to 2210004216 its reverse (6124000122), we get a palindrome (8334004338).

The spelling of 2210004216 in words is "two billion, two hundred ten million, four thousand, two hundred sixteen".