211919040 has 84 divisors (see below), whose sum is σ = 728923104. Its totient is φ = 56510976.

The previous prime is 211919039. The next prime is 211919047. The reversal of 211919040 is 40919112.

It is a junction number, because it is equal to n+sod(n) for n = 211918995 and 211919013.

It is not an unprimeable number, because it can be changed into a prime (211919047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33912 + ... + 39671.

It is an arithmetic number, because the mean of its divisors is an integer number (8677656).

Almost surely, 2^211919040 is an apocalyptic number.

211919040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211919040 is an abundant number, since it is smaller than the sum of its proper divisors (517004064).

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

211919040 is a wasteful number, since it uses less digits than its factorization.

211919040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73606 (or 73593 counting only the distinct ones).

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

The square root of 211919040 is about 14557.4393352677. The cubic root of 211919040 is about 596.1972831575.

The spelling of 211919040 in words is "two hundred eleven million, nine hundred nineteen thousand, forty".