212808742240 has 24 divisors (see below), whose sum is σ = 502760653920. Its totient is φ = 85123496832.

The previous prime is 212808742187. The next prime is 212808742249. The reversal of 212808742240 is 42247808212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 212808742193 and 212808742202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212808742249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 665027160 + ... + 665027479.

It is an arithmetic number, because the mean of its divisors is an integer number (20948360580).

Almost surely, 2^212808742240 is an apocalyptic number.

212808742240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212808742240 is an abundant number, since it is smaller than the sum of its proper divisors (289951911680).

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

212808742240 is a wasteful number, since it uses less digits than its factorization.

212808742240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330054654 (or 1330054646 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 40.

The spelling of 212808742240 in words is "two hundred twelve billion, eight hundred eight million, seven hundred forty-two thousand, two hundred forty".