211140540 has 192 divisors, whose sum is σ = 745113600. Its totient is φ = 49206528.

The previous prime is 211140533. The next prime is 211140541. The reversal of 211140540 is 45041112.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211140541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132589 + ... + 134171.

It is an arithmetic number, because the mean of its divisors is an integer number (3880800).

Almost surely, 2^211140540 is an apocalyptic number.

211140540 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 211140540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372556800).

211140540 is an abundant number, since it is smaller than the sum of its proper divisors (533973060).

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

211140540 is a wasteful number, since it uses less digits than its factorization.

211140540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 211140540 is about 14530.6758273660. The cubic root of 211140540 is about 595.4663293337.

Adding to 211140540 its reverse (45041112), we get a palindrome (256181652).

The spelling of 211140540 in words is "two hundred eleven million, one hundred forty thousand, five hundred forty".