2306416616 has 64 divisors (see below), whose sum is σ = 5163540480. Its totient is φ = 944994240.

The previous prime is 2306416579. The next prime is 2306416633. The reversal of 2306416616 is 6166146032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136085 + ... + 152091.

It is an arithmetic number, because the mean of its divisors is an integer number (80680320).

Almost surely, 2^2306416616 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 2306416616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581770240).

2306416616 is an abundant number, since it is smaller than the sum of its proper divisors (2857123864).

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

2306416616 is a wasteful number, since it uses less digits than its factorization.

2306416616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16134 (or 16130 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 2306416616 is about 48025.1664859165. The cubic root of 2306416616 is about 1321.2325142573.

It can be divided in two parts, 2306416 and 616, that added together give a palindrome (2307032).

The spelling of 2306416616 in words is "two billion, three hundred six million, four hundred sixteen thousand, six hundred sixteen".