2508466680 has 192 divisors, whose sum is σ = 8576305920. Its totient is φ = 634982400.

The previous prime is 2508466561. The next prime is 2508466693. The reversal of 2508466680 is 866648052.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 589360 + ... + 593600.

It is an arithmetic number, because the mean of its divisors is an integer number (44668260).

Almost surely, 2^2508466680 is an apocalyptic number.

2508466680 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 2508466680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4288152960).

2508466680 is an abundant number, since it is smaller than the sum of its proper divisors (6067839240).

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

2508466680 is a wasteful number, since it uses less digits than its factorization.

2508466680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4342 (or 4335 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 2508466680 is about 50084.5952364597. The cubic root of 2508466680 is about 1358.7392222818.

The spelling of 2508466680 in words is "two billion, five hundred eight million, four hundred sixty-six thousand, six hundred eighty".