2244355200 has 144 divisors (see below), whose sum is σ = 8008476450. Its totient is φ = 598487040.

The previous prime is 2244355199. The next prime is 2244355219. The reversal of 2244355200 is 25534422.

It is a happy number.

2244355200 is a `hidden beast` number, since 2 + 24 + 435 + 5 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2029322304 + 215032896 = 45048^2 + 14664^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10165 + ... + 67764.

Almost surely, 2^2244355200 is an apocalyptic number.

2244355200 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 2244355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004238225).

2244355200 is an abundant number, since it is smaller than the sum of its proper divisors (5764121250).

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

2244355200 is a wasteful number, since it uses less digits than its factorization.

2244355200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77959 (or 77939 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 2244355200 is about 47374.6261198967. The cubic root of 2244355200 is about 1309.2739600929.

Adding to 2244355200 its reverse (25534422), we get a palindrome (2269889622).

The spelling of 2244355200 in words is "two billion, two hundred forty-four million, three hundred fifty-five thousand, two hundred".