2205124320 has 192 divisors, whose sum is σ = 8132576256. Its totient is φ = 491704320.

The previous prime is 2205124291. The next prime is 2205124321. The reversal of 2205124320 is 234215022.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205124321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129757 + ... + 145763.

It is an arithmetic number, because the mean of its divisors is an integer number (42357168).

Almost surely, 2^2205124320 is an apocalyptic number.

2205124320 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 2205124320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4066288128).

2205124320 is an abundant number, since it is smaller than the sum of its proper divisors (5927451936).

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

2205124320 is a wasteful number, since it uses less digits than its factorization.

2205124320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16073 (or 16065 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2205124320 is about 46958.7512610802. The cubic root of 2205124320 is about 1301.6004588114.

Adding to 2205124320 its reverse (234215022), we get a palindrome (2439339342).

The spelling of 2205124320 in words is "two billion, two hundred five million, one hundred twenty-four thousand, three hundred twenty".