211305040 has 20 divisors (see below), whose sum is σ = 491284404. Its totient is φ = 84521984.

The previous prime is 211305001. The next prime is 211305041. The reversal of 211305040 is 40503112.

It can be written as a sum of positive squares in 2 ways, for example, as 125260864 + 86044176 = 11192^2 + 9276^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211305041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1320577 + ... + 1320736.

Almost surely, 2^211305040 is an apocalyptic number.

211305040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211305040 is an abundant number, since it is smaller than the sum of its proper divisors (279979364).

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

211305040 is a wasteful number, since it uses less digits than its factorization.

211305040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641326 (or 2641320 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 211305040 is about 14536.3351639951. The cubic root of 211305040 is about 595.6209321769.

Adding to 211305040 its reverse (40503112), we get a palindrome (251808152).

The spelling of 211305040 in words is "two hundred eleven million, three hundred five thousand, forty".