2564716728 has 32 divisors (see below), whose sum is σ = 7327762560. Its totient is φ = 732776160.

The previous prime is 2564716681. The next prime is 2564716771. The reversal of 2564716728 is 8276174652.

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, 7632918 + ... + 7633253.

It is an arithmetic number, because the mean of its divisors is an integer number (228992580).

Almost surely, 2^2564716728 is an apocalyptic number.

2564716728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2564716728 is an abundant number, since it is smaller than the sum of its proper divisors (4763045832).

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

2564716728 is a wasteful number, since it uses less digits than its factorization.

2564716728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15266187 (or 15266183 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 2564716728 is about 50643.0323736642. The cubic root of 2564716728 is about 1368.8203972383.

The spelling of 2564716728 in words is "two billion, five hundred sixty-four million, seven hundred sixteen thousand, seven hundred twenty-eight".