219041040 has 160 divisors (see below), whose sum is σ = 714240000. Its totient is φ = 55457280.

The previous prime is 219041033. The next prime is 219041077. The reversal of 219041040 is 40140912.

It is a junction number, because it is equal to n+sod(n) for n = 219040998 and 219041016.

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 31 ways as a sum of consecutive naturals, for example, 438711 + ... + 439209.

It is an arithmetic number, because the mean of its divisors is an integer number (4464000).

Almost surely, 2^219041040 is an apocalyptic number.

219041040 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 219041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357120000).

219041040 is an abundant number, since it is smaller than the sum of its proper divisors (495198960).

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

219041040 is a wasteful number, since it uses less digits than its factorization.

219041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 219041040 is about 14800.0351350934. The cubic root of 219041040 is about 602.8026658341.

Adding to 219041040 its reverse (40140912), we get a palindrome (259181952).

The spelling of 219041040 in words is "two hundred nineteen million, forty-one thousand, forty".