211334040 has 96 divisors (see below), whose sum is σ = 689195520. Its totient is φ = 56162304.

The previous prime is 211334027. The next prime is 211334059. The reversal of 211334040 is 40433112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126249 + ... + 127911.

It is an arithmetic number, because the mean of its divisors is an integer number (7179120).

Almost surely, 2^211334040 is an apocalyptic number.

211334040 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 211334040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344597760).

211334040 is an abundant number, since it is smaller than the sum of its proper divisors (477861480).

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

211334040 is a wasteful number, since it uses less digits than its factorization.

211334040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 211334040 is about 14537.3326301629. The cubic root of 211334040 is about 595.6481790690.

Adding to 211334040 its reverse (40433112), we get a palindrome (251767152).

The spelling of 211334040 in words is "two hundred eleven million, three hundred thirty-four thousand, forty".