208206509940 has 480 divisors, whose sum is σ = 771779352960. Its totient is φ = 46322150400.

The previous prime is 208206509887. The next prime is 208206509963. The reversal of 208206509940 is 49905602802.

208206509940 is a `hidden beast` number, since 20 + 82 + 0 + 6 + 509 + 9 + 40 = 666.

208206509940 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 (45).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 41464630 + ... + 41469650.

It is an arithmetic number, because the mean of its divisors is an integer number (1607873652).

Almost surely, 2^208206509940 is an apocalyptic number.

208206509940 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 208206509940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385889676480).

208206509940 is an abundant number, since it is smaller than the sum of its proper divisors (563572843020).

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

208206509940 is a wasteful number, since it uses less digits than its factorization.

208206509940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5245 (or 5234 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 208206509940 in words is "two hundred eight billion, two hundred six million, five hundred nine thousand, nine hundred forty".