2205342720 has 704 divisors, whose sum is σ = 9338250240. Its totient is φ = 483065856.

The previous prime is 2205342589. The next prime is 2205342739. The reversal of 2205342720 is 272435022.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 41610214 + ... + 41610266.

It is an arithmetic number, because the mean of its divisors is an integer number (13264560).

Almost surely, 2^2205342720 is an apocalyptic number.

2205342720 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 2205342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4669125120).

2205342720 is an abundant number, since it is smaller than the sum of its proper divisors (7132907520).

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

2205342720 is a wasteful number, since it uses less digits than its factorization.

2205342720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 2205342720 is about 46961.0766486460. The cubic root of 2205342720 is about 1301.6434284455.

Adding to 2205342720 its reverse (272435022), we get a palindrome (2477777742).

The spelling of 2205342720 in words is "two billion, two hundred five million, three hundred forty-two thousand, seven hundred twenty".