206052021024 has 192 divisors, whose sum is σ = 561350321280. Its totient is φ = 66142494720.

The previous prime is 206052021001. The next prime is 206052021037. The reversal of 206052021024 is 420120250602.

It is a happy number.

206052021024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 206052020985 and 206052021003.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 95703532 + ... + 95705684.

It is an arithmetic number, because the mean of its divisors is an integer number (2923699590).

Almost surely, 2^206052021024 is an apocalyptic number.

206052021024 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 206052021024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280675160640).

206052021024 is an abundant number, since it is smaller than the sum of its proper divisors (355298300256).

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

206052021024 is a wasteful number, since it uses less digits than its factorization.

206052021024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 206052021024 its reverse (420120250602), we get a palindrome (626172271626).

The spelling of 206052021024 in words is "two hundred six billion, fifty-two million, twenty-one thousand, twenty-four".