2117821216 has 96 divisors (see below), whose sum is σ = 4938071040. Its totient is φ = 875212800.

The previous prime is 2117821201. The next prime is 2117821217. The reversal of 2117821216 is 6121287112.

It is not an unprimeable number, because it can be changed into a prime (2117821217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 816081 + ... + 818671.

It is an arithmetic number, because the mean of its divisors is an integer number (51438240).

Almost surely, 2^2117821216 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 2117821216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469035520).

2117821216 is an abundant number, since it is smaller than the sum of its proper divisors (2820249824).

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

2117821216 is a wasteful number, since it uses less digits than its factorization.

2117821216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738 (or 2730 counting only the distinct ones).

The product of its digits is 2688, while the sum is 31.

The square root of 2117821216 is about 46019.7915684111. The cubic root of 2117821216 is about 1284.1914227600.

The spelling of 2117821216 in words is "two billion, one hundred seventeen million, eight hundred twenty-one thousand, two hundred sixteen".