2504678544 has 160 divisors (see below), whose sum is σ = 7738433280. Its totient is φ = 772761600.

The previous prime is 2504678531. The next prime is 2504678609. The reversal of 2504678544 is 4458764052.

2504678544 is a `hidden beast` number, since 2 + 504 + 67 + 85 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2504678544.

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 31 ways as a sum of consecutive naturals, for example, 445189 + ... + 450779.

It is an arithmetic number, because the mean of its divisors is an integer number (48365208).

Almost surely, 2^2504678544 is an apocalyptic number.

2504678544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2504678544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3869216640).

2504678544 is an abundant number, since it is smaller than the sum of its proper divisors (5233754736).

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

2504678544 is a wasteful number, since it uses less digits than its factorization.

2504678544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5686 (or 5674 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The square root of 2504678544 is about 50046.7635716836. The cubic root of 2504678544 is about 1358.0549155270.

The spelling of 2504678544 in words is "two billion, five hundred four million, six hundred seventy-eight thousand, five hundred forty-four".