2580152832 has 160 divisors (see below), whose sum is σ = 8087428800. Its totient is φ = 809385984.

The previous prime is 2580152819. The next prime is 2580152833. The reversal of 2580152832 is 2382510852.

2580152832 is a `hidden beast` number, since 25 + 80 + 1 + 528 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2580152833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229519 + ... + 240497.

It is an arithmetic number, because the mean of its divisors is an integer number (50546430).

Almost surely, 2^2580152832 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 2580152832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043714400).

2580152832 is an abundant number, since it is smaller than the sum of its proper divisors (5507275968).

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

2580152832 is a wasteful number, since it uses less digits than its factorization.

2580152832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11023 (or 11001 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2580152832 is about 50795.2048130530. The cubic root of 2580152832 is about 1371.5610514877.

The spelling of 2580152832 in words is "two billion, five hundred eighty million, one hundred fifty-two thousand, eight hundred thirty-two".