2008510193664 has 784 divisors, whose sum is σ = 6654386126304. Its totient is φ = 601974374400.

The previous prime is 2008510193621. The next prime is 2008510193689. The reversal of 2008510193664 is 4663910158002.

2008510193664 is a `hidden beast` number, since 200 + 85 + 1 + 0 + 1 + 9 + 366 + 4 = 666.

It is a super-2 number, since 2×2008510193664² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3183058629 + ... + 3183059259.

It is an arithmetic number, because the mean of its divisors is an integer number (8487737406).

Almost surely, 2^{2008510193664} is an apocalyptic number.

2008510193664 is a gapful number since it is divisible by the number (24) 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 2008510193664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327193063152).

2008510193664 is an abundant number, since it is smaller than the sum of its proper divisors (4645875932640).

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

2008510193664 is an frugal number, since it uses more digits than its factorization.

2008510193664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 690 counting only the distinct ones).

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

The spelling of 2008510193664 in words is "two trillion, eight billion, five hundred ten million, one hundred ninety-three thousand, six hundred sixty-four".