2416466016 has 72 divisors (see below), whose sum is σ = 6883039800. Its totient is φ = 804174336.

The previous prime is 2416465993. The next prime is 2416466029. The reversal of 2416466016 is 6106646142.

2416466016 is a `hidden beast` number, since 2 + 4 + 1 + 6 + 46 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178660 + ... + 191708.

It is an arithmetic number, because the mean of its divisors is an integer number (95597775).

Almost surely, 2^2416466016 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 2416466016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3441519900).

2416466016 is an abundant number, since it is smaller than the sum of its proper divisors (4466573784).

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

2416466016 is a wasteful number, since it uses less digits than its factorization.

2416466016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13708 (or 13697 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2416466016 is about 49157.5631617353. The cubic root of 2416466016 is about 1341.9208392046.

The spelling of 2416466016 in words is "two billion, four hundred sixteen million, four hundred sixty-six thousand, sixteen".