2516415606 has 64 divisors (see below), whose sum is σ = 5665651200. Its totient is φ = 827820000.

The previous prime is 2516415581. The next prime is 2516415617. The reversal of 2516415606 is 6065146152.

2516415606 is a `hidden beast` number, since 2 + 5 + 1 + 6 + 41 + 5 + 606 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2393781 + ... + 2394831.

It is an arithmetic number, because the mean of its divisors is an integer number (88525800).

Almost surely, 2^2516415606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2516415606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832825600).

2516415606 is an abundant number, since it is smaller than the sum of its proper divisors (3149235594).

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

2516415606 is a wasteful number, since it uses less digits than its factorization.

2516415606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2516415606 is about 50163.8874689751. The cubic root of 2516415606 is about 1360.1729173877.

The spelling of 2516415606 in words is "two billion, five hundred sixteen million, four hundred fifteen thousand, six hundred six".