2508800000 has 270 divisors, whose sum is σ = 7295310414. Its totient is φ = 860160000.

The previous prime is 2508799999. The next prime is 2508800027. The reversal of 2508800000 is 88052.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 1159266304 + 1349533696 = 34048^2 + 36736^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 358399997 + ... + 358400003.

Almost surely, 2^2508800000 is an apocalyptic number.

2508800000 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 2508800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3647655207).

2508800000 is an abundant number, since it is smaller than the sum of its proper divisors (4786510414).

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

2508800000 is an frugal number, since it uses more digits than its factorization.

2508800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 2508800000 is about 50087.9226959953. The cubic root of 2508800000 is about 1358.7994017934.

Adding to 2508800000 its reverse (88052), we get a palindrome (2508888052).

The spelling of 2508800000 in words is "two billion, five hundred eight million, eight hundred thousand".