2532709728 has 384 divisors, whose sum is σ = 8230118400. Its totient is φ = 754790400.

The previous prime is 2532709723. The next prime is 2532709733. The reversal of 2532709728 is 8279072352.

2532709728 is a `hidden beast` number, since 2 + 532 + 7 + 0 + 97 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (2532709723) and next prime (2532709733).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2532709723) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35671933 + ... + 35672003.

It is an arithmetic number, because the mean of its divisors is an integer number (21432600).

Almost surely, 2^2532709728 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 2532709728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4115059200).

2532709728 is an abundant number, since it is smaller than the sum of its proper divisors (5697408672).

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

2532709728 is a wasteful number, since it uses less digits than its factorization.

2532709728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 2532709728 is about 50326.0342963759. The cubic root of 2532709728 is about 1363.1023697686.

The spelling of 2532709728 in words is "two billion, five hundred thirty-two million, seven hundred nine thousand, seven hundred twenty-eight".