2210841216 has 448 divisors, whose sum is σ = 7358076000. Its totient is φ = 658409472.

The previous prime is 2210841179. The next prime is 2210841221. The reversal of 2210841216 is 6121480122.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2210841216.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 51414891 + ... + 51414933.

Almost surely, 2^2210841216 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 2210841216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679038000).

2210841216 is an abundant number, since it is smaller than the sum of its proper divisors (5147234784).

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

2210841216 is an equidigital number, since it uses as much as digits as its factorization.

2210841216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2210841216 is about 47019.5833243979. The cubic root of 2210841216 is about 1302.7243097657.

The spelling of 2210841216 in words is "two billion, two hundred ten million, eight hundred forty-one thousand, two hundred sixteen".