2504635328 has 168 divisors, whose sum is σ = 5852891520. Its totient is φ = 1055877120.

The previous prime is 2504635327. The next prime is 2504635337. The reversal of 2504635328 is 8235364052.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 2504635291 and 2504635300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2504635327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9310778 + ... + 9311046.

It is an arithmetic number, because the mean of its divisors is an integer number (34838640).

Almost surely, 2^2504635328 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 2504635328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926445760).

2504635328 is an abundant number, since it is smaller than the sum of its proper divisors (3348256192).

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

2504635328 is a wasteful number, since it uses less digits than its factorization.

2504635328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The square root of 2504635328 is about 50046.3318136305. The cubic root of 2504635328 is about 1358.0471048056.

The spelling of 2504635328 in words is "two billion, five hundred four million, six hundred thirty-five thousand, three hundred twenty-eight".