2508989824 has 64 divisors (see below), whose sum is σ = 5739825600. Its totient is φ = 1080414720.

The previous prime is 2508989789. The next prime is 2508989827. The reversal of 2508989824 is 4289898052.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2508989827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20142 + ... + 73645.

It is an arithmetic number, because the mean of its divisors is an integer number (89684775).

Almost surely, 2^2508989824 is an apocalyptic number.

It is an amenable number.

2508989824 is an abundant number, since it is smaller than the sum of its proper divisors (3230835776).

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

2508989824 is a wasteful number, since it uses less digits than its factorization.

2508989824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93831 (or 93819 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 55.

The square root of 2508989824 is about 50089.8175680447. The cubic root of 2508989824 is about 1358.8336713290.

The spelling of 2508989824 in words is "two billion, five hundred eight million, nine hundred eighty-nine thousand, eight hundred twenty-four".