2508658880 has 336 divisors, whose sum is σ = 7744455936. Its totient is φ = 766402560.

The previous prime is 2508658853. The next prime is 2508658903. The reversal of 2508658880 is 888568052.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6318842 + ... + 6319238.

It is an arithmetic number, because the mean of its divisors is an integer number (23048976).

Almost surely, 2^2508658880 is an apocalyptic number.

2508658880 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 2508658880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3872227968).

2508658880 is an abundant number, since it is smaller than the sum of its proper divisors (5235797056).

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

2508658880 is a wasteful number, since it uses less digits than its factorization.

2508658880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 50.

The square root of 2508658880 is about 50086.5139533587. The cubic root of 2508658880 is about 1358.7739238269.

The spelling of 2508658880 in words is "two billion, five hundred eight million, six hundred fifty-eight thousand, eight hundred eighty".