208240402320 has 60 divisors (see below), whose sum is σ = 699340686876. Its totient is φ = 55530773760.

The previous prime is 208240402313. The next prime is 208240402343. The reversal of 208240402320 is 23204042802.

208240402320 is a `hidden beast` number, since 20 + 8 + 2 + 404 + 0 + 232 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36735088896 + 171505313424 = 191664^2 + 414132^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×208240402320² (a number of 23 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 144610671 + ... + 144612110.

Almost surely, 2^208240402320 is an apocalyptic number.

208240402320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

208240402320 is an abundant number, since it is smaller than the sum of its proper divisors (491100284556).

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

208240402320 is a wasteful number, since it uses less digits than its factorization.

208240402320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289222800 (or 289222791 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 208240402320 in words is "two hundred eight billion, two hundred forty million, four hundred two thousand, three hundred twenty".