2241764200 has 96 divisors (see below), whose sum is σ = 5654325600. Its totient is φ = 821640960.

The previous prime is 2241764197. The next prime is 2241764209. The reversal of 2241764200 is 24671422.

It is a happy number.

2241764200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2241764209) 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, 358299 + ... + 364501.

It is an arithmetic number, because the mean of its divisors is an integer number (58899225).

Almost surely, 2^2241764200 is an apocalyptic number.

2241764200 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 2241764200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827162800).

2241764200 is an abundant number, since it is smaller than the sum of its proper divisors (3412561400).

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

2241764200 is a wasteful number, since it uses less digits than its factorization.

2241764200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6371 (or 6362 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 2241764200 is about 47347.2723607179. The cubic root of 2241764200 is about 1308.7699348395.

The spelling of 2241764200 in words is "two billion, two hundred forty-one million, seven hundred sixty-four thousand, two hundred".