2505882048 has 56 divisors (see below), whose sum is σ = 6649108368. Its totient is φ = 832905216.

The previous prime is 2505882037. The next prime is 2505882053. The reversal of 2505882048 is 8402885052.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49290 + ... + 86262.

It is an arithmetic number, because the mean of its divisors is an integer number (118734078).

Almost surely, 2^2505882048 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 2505882048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324554184).

2505882048 is an abundant number, since it is smaller than the sum of its proper divisors (4143226320).

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

2505882048 is a wasteful number, since it uses less digits than its factorization.

2505882048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37341 (or 37331 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 42.

The square root of 2505882048 is about 50058.7859221536. The cubic root of 2505882048 is about 1358.2723969034.

The spelling of 2505882048 in words is "two billion, five hundred five million, eight hundred eighty-two thousand, forty-eight".