2516643216 has 40 divisors (see below), whose sum is σ = 7223699360. Its totient is φ = 838880928.

The previous prime is 2516643211. The next prime is 2516643221. The reversal of 2516643216 is 6123466152.

2516643216 is a `hidden beast` number, since 2 + 5 + 1 + 6 + 643 + 2 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2516643211) and next prime (2516643221).

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

It is not an unprimeable number, because it can be changed into a prime (2516643211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2912350 + ... + 2913213.

It is an arithmetic number, because the mean of its divisors is an integer number (180592484).

Almost surely, 2^2516643216 is an apocalyptic number.

It is an amenable number.

2516643216 is an abundant number, since it is smaller than the sum of its proper divisors (4707056144).

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

2516643216 is a wasteful number, since it uses less digits than its factorization.

2516643216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5825580 (or 5825568 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 2516643216 is about 50166.1560815656. The cubic root of 2516643216 is about 1360.2139254024.

The spelling of 2516643216 in words is "two billion, five hundred sixteen million, six hundred forty-three thousand, two hundred sixteen".