2505456456 has 128 divisors (see below), whose sum is σ = 6604416000. Its totient is φ = 791101440.

The previous prime is 2505456427. The next prime is 2505456497. The reversal of 2505456456 is 6546545052.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10752916 + ... + 10753148.

It is an arithmetic number, because the mean of its divisors is an integer number (51597000).

Almost surely, 2^2505456456 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 2505456456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302208000).

2505456456 is an abundant number, since it is smaller than the sum of its proper divisors (4098959544).

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

2505456456 is a wasteful number, since it uses less digits than its factorization.

2505456456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 42.

The square root of 2505456456 is about 50054.5348195346. The cubic root of 2505456456 is about 1358.1954974878.

The spelling of 2505456456 in words is "two billion, five hundred five million, four hundred fifty-six thousand, four hundred fifty-six".