2532128800 has 72 divisors (see below), whose sum is σ = 6188885136. Its totient is φ = 1011651840.

The previous prime is 2532128773. The next prime is 2532128827. The reversal of 2532128800 is 88212352.

It is an interprime number because it is at equal distance from previous prime (2532128773) and next prime (2532128827).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1025167 + ... + 1027633.

It is an arithmetic number, because the mean of its divisors is an integer number (85956738).

Almost surely, 2^2532128800 is an apocalyptic number.

2532128800 is a gapful number since it is divisible by the number (20) 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 2532128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094442568).

2532128800 is an abundant number, since it is smaller than the sum of its proper divisors (3656756336).

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

2532128800 is a wasteful number, since it uses less digits than its factorization.

2532128800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3770 (or 3757 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 2532128800 is about 50320.2623204609. The cubic root of 2532128800 is about 1362.9981434696.

The spelling of 2532128800 in words is "two billion, five hundred thirty-two million, one hundred twenty-eight thousand, eight hundred".