2478506016 has 96 divisors (see below), whose sum is σ = 7443515520. Its totient is φ = 707383296.

The previous prime is 2478505987. The next prime is 2478506029. The reversal of 2478506016 is 6106058742.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2478506016² = 12285984142696384512, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 999370 + ... + 1001846.

It is an arithmetic number, because the mean of its divisors is an integer number (77536620).

Almost surely, 2^2478506016 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 2478506016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3721757760).

2478506016 is an abundant number, since it is smaller than the sum of its proper divisors (4965009504).

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

2478506016 is a wasteful number, since it uses less digits than its factorization.

2478506016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3986 (or 3978 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 2478506016 is about 49784.5961719084. The cubic root of 2478506016 is about 1353.3080311597.

The spelling of 2478506016 in words is "two billion, four hundred seventy-eight million, five hundred six thousand, sixteen".