211419840 has 224 divisors, whose sum is σ = 721278720. Its totient is φ = 52310016.

The previous prime is 211419827. The next prime is 211419847. The reversal of 211419840 is 48914112.

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 = 211419798 and 211419807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211419847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1221994 + ... + 1222166.

Almost surely, 2^211419840 is an apocalyptic number.

211419840 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 211419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360639360).

211419840 is an abundant number, since it is smaller than the sum of its proper divisors (509858880).

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

211419840 is a wasteful number, since it uses less digits than its factorization.

211419840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 269 counting only the distinct ones).

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

The square root of 211419840 is about 14540.2833534976. The cubic root of 211419840 is about 595.7287776939.

The spelling of 211419840 in words is "two hundred eleven million, four hundred nineteen thousand, eight hundred forty".