208020234240 has 1680 divisors, whose sum is σ = 940296649248. Its totient is φ = 43061870592.

The previous prime is 208020234199. The next prime is 208020234251. The reversal of 208020234240 is 42432020802.

208020234240 is a `hidden beast` number, since 2 + 0 + 80 + 202 + 342 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3924910054 + ... + 3924910106.

Almost surely, 2^208020234240 is an apocalyptic number.

208020234240 is a gapful number since it is divisible by the number (20) 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 208020234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470148324624).

208020234240 is an abundant number, since it is smaller than the sum of its proper divisors (732276415008).

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

208020234240 is an equidigital number, since it uses as much as digits as its factorization.

208020234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 83 counting only the distinct ones).

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

The spelling of 208020234240 in words is "two hundred eight billion, twenty million, two hundred thirty-four thousand, two hundred forty".