2516560032 has 288 divisors, whose sum is σ = 8318479680. Its totient is φ = 661893120.

The previous prime is 2516560027. The next prime is 2516560043. The reversal of 2516560032 is 2300656152.

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 47 ways as a sum of consecutive naturals, for example, 3306532 + ... + 3307292.

It is an arithmetic number, because the mean of its divisors is an integer number (28883610).

Almost surely, 2^2516560032 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 2516560032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4159239840).

2516560032 is an abundant number, since it is smaller than the sum of its proper divisors (5801919648).

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

2516560032 is a wasteful number, since it uses less digits than its factorization.

2516560032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 2516560032 is about 50165.3269898642. The cubic root of 2516560032 is about 1360.1989386029.

The spelling of 2516560032 in words is "two billion, five hundred sixteen million, five hundred sixty thousand, thirty-two".