219240840 has 256 divisors, whose sum is σ = 857848320. Its totient is φ = 43499520.

The previous prime is 219240839. The next prime is 219240869. The reversal of 219240840 is 48042912.

219240840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 219240798 and 219240807.

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 63 ways as a sum of consecutive naturals, for example, 185050 + ... + 186230.

It is an arithmetic number, because the mean of its divisors is an integer number (3350970).

Almost surely, 2^219240840 is an apocalyptic number.

219240840 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 219240840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428924160).

219240840 is an abundant number, since it is smaller than the sum of its proper divisors (638607480).

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

219240840 is a wasteful number, since it uses less digits than its factorization.

219240840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 219240840 is about 14806.7835805080. The cubic root of 219240840 is about 602.9858938586.

The spelling of 219240840 in words is "two hundred nineteen million, two hundred forty thousand, eight hundred forty".