2546807728 has 80 divisors (see below), whose sum is σ = 5463936000. Its totient is φ = 1145214720.

The previous prime is 2546807707. The next prime is 2546807729. The reversal of 2546807728 is 8277086452.

It is not an unprimeable number, because it can be changed into a prime (2546807729) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 496923 + ... + 502021.

It is an arithmetic number, because the mean of its divisors is an integer number (68299200).

Almost surely, 2^2546807728 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 2546807728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731968000).

2546807728 is an abundant number, since it is smaller than the sum of its proper divisors (2917128272).

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

2546807728 is a wasteful number, since it uses less digits than its factorization.

2546807728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5210 (or 5204 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 49.

The square root of 2546807728 is about 50465.9065904894. The cubic root of 2546807728 is about 1365.6268689259.

The spelling of 2546807728 in words is "two billion, five hundred forty-six million, eight hundred seven thousand, seven hundred twenty-eight".