2205441360 has 240 divisors, whose sum is σ = 7576657920. Its totient is φ = 574801920.

The previous prime is 2205441323. The next prime is 2205441383. The reversal of 2205441360 is 631445022.

It is a tau number, because it is divible by the number of its divisors (240).

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, 8138025 + ... + 8138295.

It is an arithmetic number, because the mean of its divisors is an integer number (31569408).

Almost surely, 2^2205441360 is an apocalyptic number.

2205441360 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 2205441360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3788328960).

2205441360 is an abundant number, since it is smaller than the sum of its proper divisors (5371216560).

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

2205441360 is a wasteful number, since it uses less digits than its factorization.

2205441360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2205441360 is about 46962.1268683606. The cubic root of 2205441360 is about 1301.6628346800.

Adding to 2205441360 its reverse (631445022), we get a palindrome (2836886382).

The spelling of 2205441360 in words is "two billion, two hundred five million, four hundred forty-one thousand, three hundred sixty".