210819952 has 60 divisors (see below), whose sum is σ = 479705160. Its totient is φ = 89486208.

The previous prime is 210819949. The next prime is 210819977. The reversal of 210819952 is 259918012.

210819952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×210819952² = 88890104322564608, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84223 + ... + 86689.

It is an arithmetic number, because the mean of its divisors is an integer number (7995086).

Almost surely, 2^210819952 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 210819952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239852580).

210819952 is an abundant number, since it is smaller than the sum of its proper divisors (268885208).

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

210819952 is a wasteful number, since it uses less digits than its factorization.

210819952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 37.

The square root of 210819952 is about 14519.6402159282. The cubic root of 210819952 is about 595.1647986418.

The spelling of 210819952 in words is "two hundred ten million, eight hundred nineteen thousand, nine hundred fifty-two".