2206264320 has 528 divisors, whose sum is σ = 8583644160. Its totient is φ = 520224768.

The previous prime is 2206264309. The next prime is 2206264399. The reversal of 2206264320 is 234626022.

2206264320 is a `hidden beast` number, since 2 + 2 + 0 + 626 + 4 + 32 + 0 = 666.

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, 17372097 + ... + 17372223.

Almost surely, 2^2206264320 is an apocalyptic number.

2206264320 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 2206264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4291822080).

2206264320 is an abundant number, since it is smaller than the sum of its proper divisors (6377379840).

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

2206264320 is a wasteful number, since it uses less digits than its factorization.

2206264320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 179 counting only the distinct ones).

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

The square root of 2206264320 is about 46970.8880052315. Note that the first 3 decimals coincide. The cubic root of 2206264320 is about 1301.8247196209.

The spelling of 2206264320 in words is "two billion, two hundred six million, two hundred sixty-four thousand, three hundred twenty".