2008124686080 has 1728 divisors, whose sum is σ = 7868237045760. Its totient is φ = 471033446400.

The previous prime is 2008124686067. The next prime is 2008124686109. The reversal of 2008124686080 is 806864218002.

2008124686080 is a `hidden beast` number, since 20 + 0 + 8 + 12 + 4 + 6 + 8 + 608 + 0 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22563198676 + ... + 22563198764.

It is an arithmetic number, because the mean of its divisors is an integer number (4553377920).

Almost surely, 2^{2008124686080} is an apocalyptic number.

2008124686080 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 2008124686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934118522880).

2008124686080 is an abundant number, since it is smaller than the sum of its proper divisors (5860112359680).

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

2008124686080 is a wasteful number, since it uses less digits than its factorization.

2008124686080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 2008124686080 in words is "two trillion, eight billion, one hundred twenty-four million, six hundred eighty-six thousand, eighty".