2213887680 has 448 divisors, whose sum is σ = 8207654400. Its totient is φ = 561254400.

The previous prime is 2213887667. The next prime is 2213887699. The reversal of 2213887680 is 867883122.

2213887680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21919630 + ... + 21919730.

Almost surely, 2^2213887680 is an apocalyptic number.

2213887680 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 2213887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4103827200).

2213887680 is an abundant number, since it is smaller than the sum of its proper divisors (5993766720).

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

2213887680 is a wasteful number, since it uses less digits than its factorization.

2213887680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 2213887680 is about 47051.9678653295. The cubic root of 2213887680 is about 1303.3224050615.

The spelling of 2213887680 in words is "two billion, two hundred thirteen million, eight hundred eighty-seven thousand, six hundred eighty".