212024516240 has 40 divisors (see below), whose sum is σ = 503445456000. Its totient is φ = 83005341056.

The previous prime is 212024516237. The next prime is 212024516243. The reversal of 212024516240 is 42615420212.

212024516240 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212024516237) and next prime (212024516243).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (212024516243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28190990 + ... + 28198509.

It is an arithmetic number, because the mean of its divisors is an integer number (12586136400).

Almost surely, 2^212024516240 is an apocalyptic number.

212024516240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212024516240 is an abundant number, since it is smaller than the sum of its proper divisors (291420939760).

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

212024516240 is a wasteful number, since it uses less digits than its factorization.

212024516240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56389559 (or 56389553 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 212024516240 its reverse (42615420212), we get a palindrome (254639936452).

The spelling of 212024516240 in words is "two hundred twelve billion, twenty-four million, five hundred sixteen thousand, two hundred forty".