2008258504176 has 320 divisors, whose sum is σ = 5445507465216. Its totient is φ = 637275340800.

The previous prime is 2008258504157. The next prime is 2008258504211. The reversal of 2008258504176 is 6714058528002.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5959223880 + ... + 5959224216.

Almost surely, 2^{2008258504176} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2008258504176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722753732608).

2008258504176 is an abundant number, since it is smaller than the sum of its proper divisors (3437248961040).

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

2008258504176 is a wasteful number, since it uses less digits than its factorization.

2008258504176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 2008258504176 in words is "two trillion, eight billion, two hundred fifty-eight million, five hundred four thousand, one hundred seventy-six".