2516584068 has 18 divisors (see below), whose sum is σ = 6361365374. Its totient is φ = 838861344.

The previous prime is 2516584051. The next prime is 2516584079. The reversal of 2516584068 is 8604856152.

2516584068 is a `hidden beast` number, since 2 + 5 + 1 + 6 + 584 + 0 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2285604864 + 230979204 = 47808^2 + 15198^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-4 number, since 4×2516584068⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34952521 + ... + 34952592.

Almost surely, 2^2516584068 is an apocalyptic number.

It is an amenable number.

2516584068 is an abundant number, since it is smaller than the sum of its proper divisors (3844781306).

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

2516584068 is a wasteful number, since it uses less digits than its factorization.

2516584068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69905123 (or 69905118 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 2516584068 is about 50165.5665571515. The cubic root of 2516584068 is about 1360.2032690695.

The spelling of 2516584068 in words is "two billion, five hundred sixteen million, five hundred eighty-four thousand, sixty-eight".