2508202008 has 216 divisors, whose sum is σ = 7776903420. Its totient is φ = 729855360.

The previous prime is 2508202007. The next prime is 2508202031. The reversal of 2508202008 is 8002028052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2508202007) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4392363 + ... + 4392933.

Almost surely, 2^2508202008 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 2508202008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888451710).

2508202008 is an abundant number, since it is smaller than the sum of its proper divisors (5268701412).

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

2508202008 is a wasteful number, since it uses less digits than its factorization.

2508202008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2508202008 is about 50081.9529171936. The cubic root of 2508202008 is about 1358.6914330780.

The spelling of 2508202008 in words is "two billion, five hundred eight million, two hundred two thousand, eight".