2241194400 has 576 divisors, whose sum is σ = 8799436800. Its totient is φ = 548674560.

The previous prime is 2241194399. The next prime is 2241194429. The reversal of 2241194400 is 44911422.

It is a happy number.

2241194400 is a `hidden beast` number, since 2 + 241 + 19 + 4 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17647137 + ... + 17647263.

It is an arithmetic number, because the mean of its divisors is an integer number (15276800).

Almost surely, 2^2241194400 is an apocalyptic number.

2241194400 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 2241194400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4399718400).

2241194400 is an abundant number, since it is smaller than the sum of its proper divisors (6558242400).

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

2241194400 is a wasteful number, since it uses less digits than its factorization.

2241194400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2241194400 is about 47341.2547362235. The cubic root of 2241194400 is about 1308.6590399915.

The spelling of 2241194400 in words is "two billion, two hundred forty-one million, one hundred ninety-four thousand, four hundred".