2452705728 has 112 divisors (see below), whose sum is σ = 7270967424. Its totient is φ = 723133440.

The previous prime is 2452705727. The next prime is 2452705729. The reversal of 2452705728 is 8275072542.

It is an interprime number because it is at equal distance from previous prime (2452705727) and next prime (2452705729).

It is a self number, because there is not a number n which added to its sum of digits gives 2452705728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2452705727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62451 + ... + 93837.

It is an arithmetic number, because the mean of its divisors is an integer number (64919352).

Almost surely, 2^2452705728 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 2452705728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3635483712).

2452705728 is an abundant number, since it is smaller than the sum of its proper divisors (4818261696).

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

2452705728 is a wasteful number, since it uses less digits than its factorization.

2452705728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31450 (or 31440 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 42.

The square root of 2452705728 is about 49524.7991212483. The cubic root of 2452705728 is about 1348.5958382266.

The spelling of 2452705728 in words is "two billion, four hundred fifty-two million, seven hundred five thousand, seven hundred twenty-eight".