2216083680 has 144 divisors (see below), whose sum is σ = 7629869520. Its totient is φ = 585682944.

The previous prime is 2216083673. The next prime is 2216083711. The reversal of 2216083680 is 863806122.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2216083680² = 9822053753524684800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155911 + ... + 169529.

It is an arithmetic number, because the mean of its divisors is an integer number (52985205).

Almost surely, 2^2216083680 is an apocalyptic number.

2216083680 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 2216083680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3814934760).

2216083680 is an abundant number, since it is smaller than the sum of its proper divisors (5413785840).

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

2216083680 is a wasteful number, since it uses less digits than its factorization.

2216083680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13753 (or 13742 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2216083680 is about 47075.2979810006. The cubic root of 2216083680 is about 1303.7531932816.

The spelling of 2216083680 in words is "two billion, two hundred sixteen million, eighty-three thousand, six hundred eighty".