2725628064 has 144 divisors (see below), whose sum is σ = 7545291264. Its totient is φ = 861414400.

The previous prime is 2725628063. The next prime is 2725628077. The reversal of 2725628064 is 4608265272.

It is not an unprimeable number, because it can be changed into a prime (2725628063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9699604 + ... + 9699884.

It is an arithmetic number, because the mean of its divisors is an integer number (52397856).

Almost surely, 2^2725628064 is an apocalyptic number.

2725628064 is a gapful number since it is divisible by the number (24) 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 2725628064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3772645632).

2725628064 is an abundant number, since it is smaller than the sum of its proper divisors (4819663200).

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

2725628064 is a wasteful number, since it uses less digits than its factorization.

2725628064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 2725628064 is about 52207.5479600412. The cubic root of 2725628064 is about 1396.8685219144.

The spelling of 2725628064 in words is "two billion, seven hundred twenty-five million, six hundred twenty-eight thousand, sixty-four".