2516684672 has 64 divisors (see below), whose sum is σ = 5344800000. Its totient is φ = 1176933888.

The previous prime is 2516684671. The next prime is 2516684683. The reversal of 2516684672 is 2764866152.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2516684671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185579 + ... + 198677.

It is an arithmetic number, because the mean of its divisors is an integer number (83512500).

Almost surely, 2^2516684672 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 2516684672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672400000).

2516684672 is an abundant number, since it is smaller than the sum of its proper divisors (2828115328).

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

2516684672 is a wasteful number, since it uses less digits than its factorization.

2516684672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13211 (or 13199 counting only the distinct ones).

The product of its digits is 967680, while the sum is 47.

The square root of 2516684672 is about 50166.5692667936. The cubic root of 2516684672 is about 1360.2213941765.

The spelling of 2516684672 in words is "two billion, five hundred sixteen million, six hundred eighty-four thousand, six hundred seventy-two".