2504724768 has 720 divisors, whose sum is σ = 9708713784. Its totient is φ = 627056640.

The previous prime is 2504724749. The next prime is 2504724779. The reversal of 2504724768 is 8674274052.

It is a happy number.

2504724768 is a `hidden beast` number, since 2 + 504 + 72 + 4 + 76 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1605444624 + 899280144 = 40068^2 + 29988^2 .

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 119 ways as a sum of consecutive naturals, for example, 61090828 + ... + 61090868.

Almost surely, 2^2504724768 is an apocalyptic number.

2504724768 is a gapful number since it is divisible by the number (28) 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 2504724768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4854356892).

2504724768 is an abundant number, since it is smaller than the sum of its proper divisors (7203989016).

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

2504724768 is a wasteful number, since it uses less digits than its factorization.

2504724768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 2504724768 is about 50047.2253776371. The cubic root of 2504724768 is about 1358.0632698052.

The spelling of 2504724768 in words is "two billion, five hundred four million, seven hundred twenty-four thousand, seven hundred sixty-eight".