212005430784 has 640 divisors, whose sum is σ = 766179532800. Its totient is φ = 56574443520.

The previous prime is 212005430743. The next prime is 212005430789. The reversal of 212005430784 is 487034500212.

It is a happy number.

212005430784 is a `hidden beast` number, since 21 + 20 + 0 + 543 + 0 + 78 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212005430789) 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, 86993214 + ... + 86995650.

It is an arithmetic number, because the mean of its divisors is an integer number (1197155520).

Almost surely, 2^212005430784 is an apocalyptic number.

212005430784 is a gapful number since it is divisible by the number (24) 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 212005430784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383089766400).

212005430784 is an abundant number, since it is smaller than the sum of its proper divisors (554174102016).

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

212005430784 is a wasteful number, since it uses less digits than its factorization.

212005430784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531 (or 2509 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 212005430784 its reverse (487034500212), we get a palindrome (699039930996).

The spelling of 212005430784 in words is "two hundred twelve billion, five million, four hundred thirty thousand, seven hundred eighty-four".