2508979898880 has 3840 divisors, whose sum is σ = 12107321081856. Its totient is φ = 483490529280.

The previous prime is 2508979898879. The next prime is 2508979898917. The reversal of 2508979898880 is 888989798052.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 2508979898880.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 53382551017 + ... + 53382551063.

Almost surely, 2^{2508979898880} is an apocalyptic number.

2508979898880 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 2508979898880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6053660540928).

2508979898880 is an abundant number, since it is smaller than the sum of its proper divisors (9598341182976).

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

2508979898880 is a wasteful number, since it uses less digits than its factorization.

2508979898880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1672151040, while the sum is 81.

The spelling of 2508979898880 in words is "two trillion, five hundred eight billion, nine hundred seventy-nine million, eight hundred ninety-eight thousand, eight hundred eighty".