211009920 has 256 divisors, whose sum is σ = 748500480. Its totient is φ = 50135040.

The previous prime is 211009871. The next prime is 211009921. The reversal of 211009920 is 29900112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211009921) 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, 2048589 + ... + 2048691.

It is an arithmetic number, because the mean of its divisors is an integer number (2923830).

Almost surely, 2^211009920 is an apocalyptic number.

211009920 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 211009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374250240).

211009920 is an abundant number, since it is smaller than the sum of its proper divisors (537490560).

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

211009920 is a wasteful number, since it uses less digits than its factorization.

211009920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 211009920 is about 14526.1805028025. The cubic root of 211009920 is about 595.3435108914.

The spelling of 211009920 in words is "two hundred eleven million, nine thousand, nine hundred twenty".