2589502848 has 64 divisors (see below), whose sum is σ = 6889912320. Its totient is φ = 861719040.

The previous prime is 2589502789. The next prime is 2589502873. The reversal of 2589502848 is 8482059852.

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

It is a super-2 number, since 2×2589502848² = 13411049999600222208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2589502848.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 236961 + ... + 247647.

It is an arithmetic number, because the mean of its divisors is an integer number (107654880).

Almost surely, 2^2589502848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2589502848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3444956160).

2589502848 is an abundant number, since it is smaller than the sum of its proper divisors (4300409472).

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

2589502848 is a wasteful number, since it uses less digits than its factorization.

2589502848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11335 (or 11323 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 51.

The square root of 2589502848 is about 50887.1579870600. The cubic root of 2589502848 is about 1373.2158188531.

The spelling of 2589502848 in words is "two billion, five hundred eighty-nine million, five hundred two thousand, eight hundred forty-eight".