211819440 has 160 divisors (see below), whose sum is σ = 763522560. Its totient is φ = 47572992.

The previous prime is 211819423. The next prime is 211819441. The reversal of 211819440 is 44918112.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 211819398 and 211819407.

It is not an unprimeable number, because it can be changed into a prime (211819441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 98052 + ... + 100188.

It is an arithmetic number, because the mean of its divisors is an integer number (4772016).

Almost surely, 2^211819440 is an apocalyptic number.

211819440 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 211819440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381761280).

211819440 is an abundant number, since it is smaller than the sum of its proper divisors (551703120).

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

211819440 is a wasteful number, since it uses less digits than its factorization.

211819440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 211819440 is about 14554.0180019127. The cubic root of 211819440 is about 596.1038661074.

The spelling of 211819440 in words is "two hundred eleven million, eight hundred nineteen thousand, four hundred forty".