2204074800 has 300 divisors, whose sum is σ = 8051296440. Its totient is φ = 577290240.

The previous prime is 2204074787. The next prime is 2204074891. The reversal of 2204074800 is 84704022.

It is a tau number, because it is divible by the number of its divisors (300).

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 59 ways as a sum of consecutive naturals, for example, 1911024 + ... + 1912176.

Almost surely, 2^2204074800 is an apocalyptic number.

2204074800 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 2204074800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4025648220).

2204074800 is an abundant number, since it is smaller than the sum of its proper divisors (5847221640).

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

2204074800 is a wasteful number, since it uses less digits than its factorization.

2204074800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2204074800 is about 46947.5750172466. The cubic root of 2204074800 is about 1301.3939288845.

Adding to 2204074800 its reverse (84704022), we get a palindrome (2288778822).

The spelling of 2204074800 in words is "two billion, two hundred four million, seventy-four thousand, eight hundred".