212264239824 has 480 divisors, whose sum is σ = 791476842240. Its totient is φ = 53031822336.

The previous prime is 212264239783. The next prime is 212264239829. The reversal of 212264239824 is 428932462212.

212264239824 is a `hidden beast` number, since 212 + 2 + 6 + 42 + 398 + 2 + 4 = 666.

It is a super-2 number, since 2×212264239824² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 212264239824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212264239829) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14184154 + ... + 14199110.

It is an arithmetic number, because the mean of its divisors is an integer number (1648910088).

Almost surely, 2^212264239824 is an apocalyptic number.

212264239824 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 212264239824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395738421120).

212264239824 is an abundant number, since it is smaller than the sum of its proper divisors (579212602416).

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

212264239824 is a wasteful number, since it uses less digits than its factorization.

212264239824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15032 (or 15001 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 212264239824 in words is "two hundred twelve billion, two hundred sixty-four million, two hundred thirty-nine thousand, eight hundred twenty-four".