2478609216 has 168 divisors, whose sum is σ = 7398170624. Its totient is φ = 792529920.

The previous prime is 2478609151. The next prime is 2478609227. The reversal of 2478609216 is 6129068742.

It is a happy number.

2478609216 is a `hidden beast` number, since 24 + 7 + 8 + 609 + 2 + 16 = 666.

It is a super-2 number, since 2×2478609216² = 12287007291280269312, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2267166 + ... + 2268258.

Almost surely, 2^2478609216 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 2478609216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3699085312).

2478609216 is an abundant number, since it is smaller than the sum of its proper divisors (4919561408).

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

2478609216 is a wasteful number, since it uses less digits than its factorization.

2478609216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2478609216 is about 49785.6326262909. The cubic root of 2478609216 is about 1353.3268139062.

The spelling of 2478609216 in words is "two billion, four hundred seventy-eight million, six hundred nine thousand, two hundred sixteen".