206000624040 has 64 divisors (see below), whose sum is σ = 626706149760. Its totient is φ = 54159786240.

The previous prime is 206000624029. The next prime is 206000624083. The reversal of 206000624040 is 40426000602.

206000624040 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 self number, because there is not a number n which added to its sum of digits gives 206000624040.

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 15 ways as a sum of consecutive naturals, for example, 12080719 + ... + 12097758.

It is an arithmetic number, because the mean of its divisors is an integer number (9792283590).

Almost surely, 2^206000624040 is an apocalyptic number.

206000624040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206000624040 is an abundant number, since it is smaller than the sum of its proper divisors (420705525720).

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

206000624040 is a wasteful number, since it uses less digits than its factorization.

206000624040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24178562 (or 24178558 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 206000624040 its reverse (40426000602), we get a palindrome (246426624642).

The spelling of 206000624040 in words is "two hundred six billion, six hundred twenty-four thousand, forty".