2725632256 has 72 divisors (see below), whose sum is σ = 5556769344. Its totient is φ = 1333954560.

The previous prime is 2725632233. The next prime is 2725632257. The reversal of 2725632256 is 6522365272.

It is a super-3 number, since 3×2725632256³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2725632257) 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 7 ways as a sum of consecutive naturals, for example, 5418501 + ... + 5419003.

It is an arithmetic number, because the mean of its divisors is an integer number (77177352).

Almost surely, 2^2725632256 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 2725632256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778384672).

2725632256 is an abundant number, since it is smaller than the sum of its proper divisors (2831137088).

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

2725632256 is an equidigital number, since it uses as much as digits as its factorization.

2725632256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 913 counting only the distinct ones).

The product of its digits is 302400, while the sum is 40.

The square root of 2725632256 is about 52207.5881074773. The cubic root of 2725632256 is about 1396.8692380392.

The spelling of 2725632256 in words is "two billion, seven hundred twenty-five million, six hundred thirty-two thousand, two hundred fifty-six".