2205120344 has 96 divisors (see below), whose sum is σ = 4910764320. Its totient is φ = 925392384.

The previous prime is 2205120341. The next prime is 2205120349. The reversal of 2205120344 is 4430215022.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205120341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7525862 + ... + 7526154.

It is an arithmetic number, because the mean of its divisors is an integer number (51153795).

Almost surely, 2^2205120344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2205120344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455382160).

2205120344 is an abundant number, since it is smaller than the sum of its proper divisors (2705643976).

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

2205120344 is a wasteful number, since it uses less digits than its factorization.

2205120344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2205120344 is about 46958.7089260342. The cubic root of 2205120344 is about 1301.5996765174.

Adding to 2205120344 its reverse (4430215022), we get a palindrome (6635335366).

The spelling of 2205120344 in words is "two billion, two hundred five million, one hundred twenty thousand, three hundred forty-four".