219080052 has 72 divisors (see below), whose sum is σ = 577152576. Its totient is φ = 72664128.

The previous prime is 219080033. The next prime is 219080053. The reversal of 219080052 is 250080912.

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 = 219079998 and 219080025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219080053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255208 + ... + 256064.

It is an arithmetic number, because the mean of its divisors is an integer number (8016008).

Almost surely, 2^219080052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219080052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288576288).

219080052 is an abundant number, since it is smaller than the sum of its proper divisors (358072524).

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

219080052 is a wasteful number, since it uses less digits than its factorization.

219080052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 219080052 is about 14801.3530462590. The cubic root of 219080052 is about 602.8384508201.

The spelling of 219080052 in words is "two hundred nineteen million, eighty thousand, fifty-two".