208024242560 has 128 divisors (see below), whose sum is σ = 505555084800. Its totient is φ = 81839718400.

The previous prime is 208024242457. The next prime is 208024242589. The reversal of 208024242560 is 65242420802.

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

It is a self number, because there is not a number n which added to its sum of digits gives 208024242560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10869800 + ... + 10888920.

It is an arithmetic number, because the mean of its divisors is an integer number (3949649100).

Almost surely, 2^208024242560 is an apocalyptic number.

208024242560 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 208024242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252777542400).

208024242560 is an abundant number, since it is smaller than the sum of its proper divisors (297530842240).

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

208024242560 is a wasteful number, since it uses less digits than its factorization.

208024242560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19420 (or 19408 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The spelling of 208024242560 in words is "two hundred eight billion, twenty-four million, two hundred forty-two thousand, five hundred sixty".