2500817088 has 448 divisors, whose sum is σ = 9012326400. Its totient is φ = 592220160.

The previous prime is 2500817063. The next prime is 2500817159. The reversal of 2500817088 is 8807180052.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2500817088² = 12508172215265599488, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8145831 + ... + 8146137.

It is an arithmetic number, because the mean of its divisors is an integer number (20116800).

Almost surely, 2^2500817088 is an apocalyptic number.

2500817088 is a gapful number since it is divisible by the number (28) 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 2500817088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4506163200).

2500817088 is an abundant number, since it is smaller than the sum of its proper divisors (6511509312).

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

2500817088 is a wasteful number, since it uses less digits than its factorization.

2500817088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 39.

The square root of 2500817088 is about 50008.1702124763. The cubic root of 2500817088 is about 1357.3566533957.

The spelling of 2500817088 in words is "two billion, five hundred million, eight hundred seventeen thousand, eighty-eight".