2189424600 has 768 divisors, whose sum is σ = 8999424000. Its totient is φ = 483840000.

The previous prime is 2189424551. The next prime is 2189424619. The reversal of 2189424600 is 64249812.

2189424600 is a `hidden beast` number, since 2 + 1 + 8 + 9 + 42 + 4 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53400580 + ... + 53400620.

It is an arithmetic number, because the mean of its divisors is an integer number (11718000).

Almost surely, 2^2189424600 is an apocalyptic number.

2189424600 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 2189424600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499712000).

2189424600 is an abundant number, since it is smaller than the sum of its proper divisors (6809999400).

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

2189424600 is a wasteful number, since it uses less digits than its factorization.

2189424600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2189424600 is about 46791.2876505873. The cubic root of 2189424600 is about 1298.5041176445.

The spelling of 2189424600 in words is "two billion, one hundred eighty-nine million, four hundred twenty-four thousand, six hundred".