2505636648 has 48 divisors (see below), whose sum is σ = 6788913300. Its totient is φ = 834865920.

The previous prime is 2505636643. The next prime is 2505636691. The reversal of 2505636648 is 8466365052.

2505636648 is a `hidden beast` number, since 2 + 5 + 0 + 5 + 636 + 6 + 4 + 8 = 666.

2505636648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2254160484 + 251476164 = 47478^2 + 15858^2 .

It is not an unprimeable number, because it can be changed into a prime (2505636641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214708 + ... + 226076.

Almost surely, 2^2505636648 is an apocalyptic number.

It is an amenable number.

2505636648 is an abundant number, since it is smaller than the sum of its proper divisors (4283276652).

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

2505636648 is a wasteful number, since it uses less digits than its factorization.

2505636648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14442 (or 14435 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 2505636648 is about 50056.3347439662. The cubic root of 2505636648 is about 1358.2280571032.

The spelling of 2505636648 in words is "two billion, five hundred five million, six hundred thirty-six thousand, six hundred forty-eight".