2189241600 has 648 divisors, whose sum is σ = 9101604960. Its totient is φ = 459325440.

The previous prime is 2189241599. The next prime is 2189241611. The reversal of 2189241600 is 61429812.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12230311 + ... + 12230489.

Almost surely, 2^2189241600 is an apocalyptic number.

2189241600 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 2189241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4550802480).

2189241600 is an abundant number, since it is smaller than the sum of its proper divisors (6912363360).

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

2189241600 is a wasteful number, since it uses less digits than its factorization.

2189241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 2189241600 is about 46789.3321174817. The cubic root of 2189241600 is about 1298.4679387516.

The spelling of 2189241600 in words is "two billion, one hundred eighty-nine million, two hundred forty-one thousand, six hundred".