2531259648 has 216 divisors, whose sum is σ = 7834488480. Its totient is φ = 783544320.

The previous prime is 2531259623. The next prime is 2531259697. The reversal of 2531259648 is 8469521352.

2531259648 is a `hidden beast` number, since 2 + 5 + 3 + 12 + 596 + 48 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2319583 + ... + 2320673.

It is an arithmetic number, because the mean of its divisors is an integer number (36270780).

Almost surely, 2^2531259648 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 2531259648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917244240).

2531259648 is an abundant number, since it is smaller than the sum of its proper divisors (5303228832).

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

2531259648 is a wasteful number, since it uses less digits than its factorization.

2531259648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1168 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 2531259648 is about 50311.6253762488. The cubic root of 2531259648 is about 1362.8421761359.

The spelling of 2531259648 in words is "two billion, five hundred thirty-one million, two hundred fifty-nine thousand, six hundred forty-eight".