2416430484 has 144 divisors (see below), whose sum is σ = 6885929232. Its totient is φ = 709502976.

The previous prime is 2416430449. The next prime is 2416430519. The reversal of 2416430484 is 4840346142.

2416430484 is a `hidden beast` number, since 2 + 4 + 1 + 643 + 0 + 4 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2416430449) and next prime (2416430519).

It can be written as a sum of positive squares in 8 ways, for example, as 3459600 + 2412970884 = 1860^2 + 49122^2 .

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 916432 + ... + 919064.

It is an arithmetic number, because the mean of its divisors is an integer number (47818953).

Almost surely, 2^2416430484 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 2416430484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442964616).

2416430484 is an abundant number, since it is smaller than the sum of its proper divisors (4469498748).

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

2416430484 is a wasteful number, since it uses less digits than its factorization.

2416430484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2416430484 is about 49157.2017511168. The cubic root of 2416430484 is about 1341.9142619185.

The spelling of 2416430484 in words is "two billion, four hundred sixteen million, four hundred thirty thousand, four hundred eighty-four".