2010224216 has 256 divisors, whose sum is σ = 5322240000. Its totient is φ = 701084160.

The previous prime is 2010224201. The next prime is 2010224261. The reversal of 2010224216 is 6124220102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18442370 + ... + 18442478.

It is an arithmetic number, because the mean of its divisors is an integer number (20790000).

Almost surely, 2^2010224216 is an apocalyptic number.

2010224216 is a gapful number since it is divisible by the number (26) 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 2010224216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661120000).

2010224216 is an abundant number, since it is smaller than the sum of its proper divisors (3312015784).

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

2010224216 is a wasteful number, since it uses less digits than its factorization.

2010224216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2010224216 is about 44835.5240406533. The cubic root of 2010224216 is about 1262.0643525946.

Adding to 2010224216 its reverse (6124220102), we get a palindrome (8134444318).

The spelling of 2010224216 in words is "two billion, ten million, two hundred twenty-four thousand, two hundred sixteen".