2505566448 has 240 divisors, whose sum is σ = 8844076800. Its totient is φ = 643230720.

The previous prime is 2505566431. The next prime is 2505566509. The reversal of 2505566448 is 8446655052.

2505566448 is a `hidden beast` number, since 2 + 50 + 556 + 6 + 4 + 48 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 985563 + ... + 988101.

It is an arithmetic number, because the mean of its divisors is an integer number (36850320).

Almost surely, 2^2505566448 is an apocalyptic number.

2505566448 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 2505566448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422038400).

2505566448 is an abundant number, since it is smaller than the sum of its proper divisors (6338510352).

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

2505566448 is a wasteful number, since it uses less digits than its factorization.

2505566448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2660 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The square root of 2505566448 is about 50055.6335291044. The cubic root of 2505566448 is about 1358.2153725692.

The spelling of 2505566448 in words is "two billion, five hundred five million, five hundred sixty-six thousand, four hundred forty-eight".