2205820320 has 288 divisors, whose sum is σ = 7717260096. Its totient is φ = 529182720.

The previous prime is 2205820307. The next prime is 2205820339. The reversal of 2205820320 is 230285022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9466924 + ... + 9467156.

It is an arithmetic number, because the mean of its divisors is an integer number (26796042).

Almost surely, 2^2205820320 is an apocalyptic number.

2205820320 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 2205820320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3858630048).

2205820320 is an abundant number, since it is smaller than the sum of its proper divisors (5511439776).

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

2205820320 is a wasteful number, since it uses less digits than its factorization.

2205820320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2205820320 is about 46966.1614356549. The cubic root of 2205820320 is about 1301.7373851239.

The spelling of 2205820320 in words is "two billion, two hundred five million, eight hundred twenty thousand, three hundred twenty".