2194828800 has 240 divisors, whose sum is σ = 7377204912. Its totient is φ = 575078400.

The previous prime is 2194828793. The next prime is 2194828817. The reversal of 2194828800 is 88284912.

It is a Cunningham number, because it is equal to 46849²-1.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2194828800² = 9634546922618880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2341932 + ... + 2342868.

Almost surely, 2^2194828800 is an apocalyptic number.

2194828800 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 2194828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3688602456).

2194828800 is an abundant number, since it is smaller than the sum of its proper divisors (5182376112).

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

2194828800 is an equidigital number, since it uses as much as digits as its factorization.

2194828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 2194828800 is about 46848.9999893274. Note that the first 4 decimals coincide. The cubic root of 2194828800 is about 1299.5716142747.

The spelling of 2194828800 in words is "two billion, one hundred ninety-four million, eight hundred twenty-eight thousand, eight hundred".