211038080 has 128 divisors (see below), whose sum is σ = 568719360. Its totient is φ = 74188800.

The previous prime is 211038077. The next prime is 211038097. The reversal of 211038080 is 80830112.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 217757 + ... + 218723.

It is an arithmetic number, because the mean of its divisors is an integer number (4443120).

Almost surely, 2^211038080 is an apocalyptic number.

211038080 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 211038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284359680).

211038080 is an abundant number, since it is smaller than the sum of its proper divisors (357681280).

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

211038080 is a wasteful number, since it uses less digits than its factorization.

211038080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 211038080 is about 14527.1497548556. The cubic root of 211038080 is about 595.3699932601.

Adding to 211038080 its reverse (80830112), we get a palindrome (291868192).

The spelling of 211038080 in words is "two hundred eleven million, thirty-eight thousand, eighty".