2504648250 has 512 divisors, whose sum is σ = 8378173440. Its totient is φ = 547430400.

The previous prime is 2504648243. The next prime is 2504648261. The reversal of 2504648250 is 528464052.

It is a happy number.

2504648250 is a `hidden beast` number, since 2 + 5 + 0 + 4 + 648 + 2 + 5 + 0 = 666.

2504648250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 34310214 + ... + 34310286.

It is an arithmetic number, because the mean of its divisors is an integer number (16363620).

Almost surely, 2^2504648250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2504648250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4189086720).

2504648250 is an abundant number, since it is smaller than the sum of its proper divisors (5873525190).

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

2504648250 is a wasteful number, since it uses less digits than its factorization.

2504648250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2504648250 is about 50046.4609138349. The cubic root of 2504648250 is about 1358.0494402959.

The spelling of 2504648250 in words is "two billion, five hundred four million, six hundred forty-eight thousand, two hundred fifty".