2008420827840 has 2016 divisors, whose sum is σ = 8878159779840. Its totient is φ = 413857382400.

The previous prime is 2008420827827. The next prime is 2008420827857. The reversal of 2008420827840 is 487280248002.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6067736475 + ... + 6067736805.

Almost surely, 2^{2008420827840} is an apocalyptic number.

2008420827840 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 2008420827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4439079889920).

2008420827840 is an abundant number, since it is smaller than the sum of its proper divisors (6869738952000).

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

2008420827840 is a wasteful number, since it uses less digits than its factorization.

2008420827840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 2008420827840 in words is "two trillion, eight billion, four hundred twenty million, eight hundred twenty-seven thousand, eight hundred forty".