2220664320 has 480 divisors, whose sum is σ = 9000763200. Its totient is φ = 505774080.

The previous prime is 2220664309. The next prime is 2220664343. The reversal of 2220664320 is 234660222.

2220664320 is a `hidden beast` number, since 2 + 220 + 6 + 6 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7902580 + ... + 7902860.

It is an arithmetic number, because the mean of its divisors is an integer number (18751590).

Almost surely, 2^2220664320 is an apocalyptic number.

2220664320 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 2220664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4500381600).

2220664320 is an abundant number, since it is smaller than the sum of its proper divisors (6780098880).

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

2220664320 is an equidigital number, since it uses as much as digits as its factorization.

2220664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2220664320 is about 47123.9251336304. The cubic root of 2220664320 is about 1304.6508600498.

The spelling of 2220664320 in words is "two billion, two hundred twenty million, six hundred sixty-four thousand, three hundred twenty".