2128563456 has 72 divisors (see below), whose sum is σ = 5708597664. Its totient is φ = 704071680.

The previous prime is 2128563433. The next prime is 2128563461. The reversal of 2128563456 is 6543658212.

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 7 ways as a sum of consecutive naturals, for example, 90030 + ... + 111186.

Almost surely, 2^2128563456 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 2128563456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854298832).

2128563456 is an abundant number, since it is smaller than the sum of its proper divisors (3580034208).

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

2128563456 is a wasteful number, since it uses less digits than its factorization.

2128563456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21307 (or 21293 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 2128563456 is about 46136.3572034030. The cubic root of 2128563456 is about 1286.3590331252.

The spelling of 2128563456 in words is "two billion, one hundred twenty-eight million, five hundred sixty-three thousand, four hundred fifty-six".