219242880 has 192 divisors, whose sum is σ = 801964800. Its totient is φ = 55001088.

The previous prime is 219242869. The next prime is 219242899. The reversal of 219242880 is 88242912.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 96801 + ... + 99039.

It is an arithmetic number, because the mean of its divisors is an integer number (4176900).

Almost surely, 2^219242880 is an apocalyptic number.

219242880 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 219242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400982400).

219242880 is an abundant number, since it is smaller than the sum of its proper divisors (582721920).

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

219242880 is a wasteful number, since it uses less digits than its factorization.

219242880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 219242880 is about 14806.8524676921. The cubic root of 219242880 is about 602.9877640810.

The spelling of 219242880 in words is "two hundred nineteen million, two hundred forty-two thousand, eight hundred eighty".