211241240 has 128 divisors (see below), whose sum is σ = 582336000. Its totient is φ = 67350528.

The previous prime is 211241227. The next prime is 211241243. The reversal of 211241240 is 42142112.

It is a super-2 number, since 2×211241240² = 89245722953475200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211241243) 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, 313544 + ... + 314216.

It is an arithmetic number, because the mean of its divisors is an integer number (4549500).

Almost surely, 2^211241240 is an apocalyptic number.

211241240 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 211241240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291168000).

211241240 is an abundant number, since it is smaller than the sum of its proper divisors (371094760).

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

211241240 is a wasteful number, since it uses less digits than its factorization.

211241240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 211241240 is about 14534.1404974632. The cubic root of 211241240 is about 595.5609802378.

Adding to 211241240 its reverse (42142112), we get a palindrome (253383352).

The spelling of 211241240 in words is "two hundred eleven million, two hundred forty-one thousand, two hundred forty".