2220583680 has 576 divisors, whose sum is σ = 9206830080. Its totient is φ = 496336896.

The previous prime is 2220583627. The next prime is 2220583711. The reversal of 2220583680 is 863850222.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 16208572 + ... + 16208708.

It is an arithmetic number, because the mean of its divisors is an integer number (15984080).

Almost surely, 2^2220583680 is an apocalyptic number.

2220583680 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 2220583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4603415040).

2220583680 is an abundant number, since it is smaller than the sum of its proper divisors (6986246400).

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

2220583680 is a wasteful number, since it uses less digits than its factorization.

2220583680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2220583680 is about 47123.0695095300. The cubic root of 2220583680 is about 1304.6350677307.

The spelling of 2220583680 in words is "two billion, two hundred twenty million, five hundred eighty-three thousand, six hundred eighty".