212534240 has 96 divisors (see below), whose sum is σ = 520261056. Its totient is φ = 82001920.

The previous prime is 212534239. The next prime is 212534249. The reversal of 212534240 is 42435212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212534249) 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, 601904 + ... + 602256.

It is an arithmetic number, because the mean of its divisors is an integer number (5419386).

Almost surely, 2^212534240 is an apocalyptic number.

212534240 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 212534240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260130528).

212534240 is an abundant number, since it is smaller than the sum of its proper divisors (307726816).

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

212534240 is a wasteful number, since it uses less digits than its factorization.

212534240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 212534240 is about 14578.5541121196. The cubic root of 212534240 is about 596.7736451165.

Adding to 212534240 its reverse (42435212), we get a palindrome (254969452).

The spelling of 212534240 in words is "two hundred twelve million, five hundred thirty-four thousand, two hundred forty".