219119040 has 224 divisors, whose sum is σ = 883676160. Its totient is φ = 50070528.

The previous prime is 219119027. The next prime is 219119051. The reversal of 219119040 is 40911912.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 219118995 and 219119013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58669 + ... + 62291.

Almost surely, 2^219119040 is an apocalyptic number.

219119040 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 219119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441838080).

219119040 is an abundant number, since it is smaller than the sum of its proper divisors (664557120).

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

219119040 is a wasteful number, since it uses less digits than its factorization.

219119040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3656 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 219119040 is about 14802.6700294237. The cubic root of 219119040 is about 602.8742095472.

The spelling of 219119040 in words is "two hundred nineteen million, one hundred nineteen thousand, forty".