2532147200 has 192 divisors, whose sum is σ = 6874883640. Its totient is φ = 917504000.

The previous prime is 2532147199. The next prime is 2532147217. The reversal of 2532147200 is 27412352.

It is a self number, because there is not a number n which added to its sum of digits gives 2532147200.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9011060 + ... + 9011340.

Almost surely, 2^2532147200 is an apocalyptic number.

2532147200 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 2532147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437441820).

2532147200 is an abundant number, since it is smaller than the sum of its proper divisors (4342736440).

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

2532147200 is an equidigital number, since it uses as much as digits as its factorization.

2532147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 2532147200 is about 50320.4451490644. The cubic root of 2532147200 is about 1363.0014449216.

Adding to 2532147200 its reverse (27412352), we get a palindrome (2559559552).

The spelling of 2532147200 in words is "two billion, five hundred thirty-two million, one hundred forty-seven thousand, two hundred".