2504278016 has 60 divisors (see below), whose sum is σ = 5034190812. Its totient is φ = 1245708288.

The previous prime is 2504278009. The next prime is 2504278027. The reversal of 2504278016 is 6108724052.

It can be written as a sum of positive squares in 2 ways, for example, as 610287616 + 1893990400 = 24704^2 + 43520^2 .

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5783336 + ... + 5783768.

Almost surely, 2^2504278016 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 2504278016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517095406).

2504278016 is an abundant number, since it is smaller than the sum of its proper divisors (2529912796).

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

2504278016 is an frugal number, since it uses more digits than its factorization.

2504278016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 2504278016 is about 50042.7618742211. The cubic root of 2504278016 is about 1357.9825219369.

The spelling of 2504278016 in words is "two billion, five hundred four million, two hundred seventy-eight thousand, sixteen".