2241691200 has 630 divisors, whose sum is σ = 9612335106. Its totient is φ = 510935040.

The previous prime is 2241691169. The next prime is 2241691237. The reversal of 2241691200 is 21961422.

It can be written as a sum of positive squares in 3 ways, for example, as 91699776 + 2149991424 = 9576^2 + 46368^2 .

It is a tau number, because it is divible by the number of its divisors (630).

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 89 ways as a sum of consecutive naturals, for example, 6350224 + ... + 6350576.

Almost surely, 2^2241691200 is an apocalyptic number.

2241691200 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 2241691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4806167553).

2241691200 is an abundant number, since it is smaller than the sum of its proper divisors (7370643906).

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

2241691200 is a wasteful number, since it uses less digits than its factorization.

2241691200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2241691200 is about 47346.5014547010. The cubic root of 2241691200 is about 1308.7557285814.

The spelling of 2241691200 in words is "two billion, two hundred forty-one million, six hundred ninety-one thousand, two hundred".