2189824000 has 416 divisors, whose sum is σ = 6869431296. Its totient is φ = 678297600.

The previous prime is 2189823971. The next prime is 2189824003. The reversal of 2189824000 is 4289812.

It is a tau number, because it is divible by the number of its divisors (416).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2189824003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46591977 + ... + 46592023.

It is an arithmetic number, because the mean of its divisors is an integer number (16513056).

Almost surely, 2^2189824000 is an apocalyptic number.

2189824000 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 2189824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3434715648).

2189824000 is an abundant number, since it is smaller than the sum of its proper divisors (4679607296).

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

2189824000 is an equidigital number, since it uses as much as digits as its factorization.

2189824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 2189824000 is about 46795.5553444983. Note that the first 3 decimals coincide. The cubic root of 2189824000 is about 1298.5830715717.

The spelling of 2189824000 in words is "two billion, one hundred eighty-nine million, eight hundred twenty-four thousand".