206028465024 has 128 divisors (see below), whose sum is σ = 583346772000. Its totient is φ = 64202276864.

The previous prime is 206028465023. The next prime is 206028465043. The reversal of 206028465024 is 420564820602.

206028465024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206028465023) 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 15 ways as a sum of consecutive naturals, for example, 866764 + ... + 1078580.

Almost surely, 2^206028465024 is an apocalyptic number.

206028465024 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 206028465024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291673386000).

206028465024 is an abundant number, since it is smaller than the sum of its proper divisors (377318306976).

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

206028465024 is a wasteful number, since it uses less digits than its factorization.

206028465024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212000 (or 211988 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 206028465024 in words is "two hundred six billion, twenty-eight million, four hundred sixty-five thousand, twenty-four".