2216107120 has 80 divisors (see below), whose sum is σ = 5229576000. Its totient is φ = 873252864.

The previous prime is 2216107111. The next prime is 2216107121. The reversal of 2216107120 is 217016122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2216107120² = 9822261534629388800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2216107091 and 2216107100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2216107121) 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, 3125326 + ... + 3126034.

It is an arithmetic number, because the mean of its divisors is an integer number (65369700).

Almost surely, 2^2216107120 is an apocalyptic number.

2216107120 is a gapful number since it is divisible by the number (20) 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 2216107120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614788000).

2216107120 is an abundant number, since it is smaller than the sum of its proper divisors (3013468880).

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

2216107120 is a wasteful number, since it uses less digits than its factorization.

2216107120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 2216107120 is about 47075.5469431848. The cubic root of 2216107120 is about 1303.7577899592.

The spelling of 2216107120 in words is "two billion, two hundred sixteen million, one hundred seven thousand, one hundred twenty".