2102211216 has 120 divisors (see below), whose sum is σ = 6735116544. Its totient is φ = 599616000.

The previous prime is 2102211193. The next prime is 2102211217. The reversal of 2102211216 is 6121122012.

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

It is not an unprimeable number, because it can be changed into a prime (2102211217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 755620 + ... + 758396.

Almost surely, 2^2102211216 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 2102211216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367558272).

2102211216 is an abundant number, since it is smaller than the sum of its proper divisors (4632905328).

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

2102211216 is a wasteful number, since it uses less digits than its factorization.

2102211216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3549 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2102211216 is about 45849.8769463998. The cubic root of 2102211216 is about 1281.0284735356.

Adding to 2102211216 its reverse (6121122012), we get a palindrome (8223333228).

The spelling of 2102211216 in words is "two billion, one hundred two million, two hundred eleven thousand, two hundred sixteen".