208606000240 has 160 divisors (see below), whose sum is σ = 532205650944. Its totient is φ = 75413099520.

The previous prime is 208606000201. The next prime is 208606000289. The reversal of 208606000240 is 42000606802.

208606000240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

208606000240 is a nontrivial binomial coefficient, being equal to C(645920, 2).

It is a super-3 number, since 3×208606000240³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 208606000199 and 208606000208.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 128214307 + ... + 128215933.

Almost surely, 2^208606000240 is an apocalyptic number.

208606000240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

208606000240 is the 645919-th triangular number and also the 322960-th hexagonal number.

208606000240 is the 215307-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208606000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266102825472).

208606000240 is an abundant number, since it is smaller than the sum of its proper divisors (323599650704).

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

208606000240 is a wasteful number, since it uses less digits than its factorization.

208606000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 208606000240 in words is "two hundred eight billion, six hundred six million, two hundred forty", and thus it is an aban number.