2216971680 has 864 divisors, whose sum is σ = 9628476480. Its totient is φ = 425779200.

The previous prime is 2216971667. The next prime is 2216971681. The reversal of 2216971680 is 861796122.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2216971681) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 54072460 + ... + 54072500.

It is an arithmetic number, because the mean of its divisors is an integer number (11144070).

Almost surely, 2^2216971680 is an apocalyptic number.

2216971680 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 2216971680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4814238240).

2216971680 is an abundant number, since it is smaller than the sum of its proper divisors (7411504800).

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

2216971680 is a wasteful number, since it uses less digits than its factorization.

2216971680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 2216971680 is about 47084.7287344846. The cubic root of 2216971680 is about 1303.9273109895.

The spelling of 2216971680 in words is "two billion, two hundred sixteen million, nine hundred seventy-one thousand, six hundred eighty".