211020240 has 80 divisors (see below), whose sum is σ = 676742400. Its totient is φ = 54329856.

The previous prime is 211020233. The next prime is 211020241. The reversal of 211020240 is 42020112.

211020240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211020241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8200 + ... + 22119.

It is an arithmetic number, because the mean of its divisors is an integer number (8459280).

Almost surely, 2^211020240 is an apocalyptic number.

211020240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211020240 is an abundant number, since it is smaller than the sum of its proper divisors (465722160).

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

211020240 is a wasteful number, since it uses less digits than its factorization.

211020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30364 (or 30358 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 211020240 is about 14526.5357191589. The cubic root of 211020240 is about 595.3532163511.

Adding to 211020240 its reverse (42020112), we get a palindrome (253040352).

The spelling of 211020240 in words is "two hundred eleven million, twenty thousand, two hundred forty".