2405516616 has 80 divisors (see below), whose sum is σ = 6746137200. Its totient is φ = 800832096.

The previous prime is 2405516599. The next prime is 2405516623. The reversal of 2405516616 is 6166155042.

2405516616 is a `hidden beast` number, since 2 + 40 + 551 + 6 + 61 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 658491 + ... + 662133.

It is an arithmetic number, because the mean of its divisors is an integer number (84326715).

Almost surely, 2^2405516616 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 2405516616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3373068600).

2405516616 is an abundant number, since it is smaller than the sum of its proper divisors (4340620584).

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

2405516616 is a wasteful number, since it uses less digits than its factorization.

2405516616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4680 (or 4667 counting only the distinct ones).

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

The square root of 2405516616 is about 49046.0662642785. The cubic root of 2405516616 is about 1339.8909497653.

The spelling of 2405516616 in words is "two billion, four hundred five million, five hundred sixteen thousand, six hundred sixteen".