2532141200 has 30 divisors (see below), whose sum is σ = 6083470194. Its totient is φ = 1012856320.

The previous prime is 2532141193. The next prime is 2532141203. The reversal of 2532141200 is 21412352.

It can be written as a sum of positive squares in 3 ways, for example, as 19324816 + 2512816384 = 4396^2 + 50128^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2532141203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3164777 + ... + 3165576.

Almost surely, 2^2532141200 is an apocalyptic number.

2532141200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2532141200 is an abundant number, since it is smaller than the sum of its proper divisors (3551328994).

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

2532141200 is a wasteful number, since it uses less digits than its factorization.

2532141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6330371 (or 6330360 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2532141200 is about 50320.3855311145. The cubic root of 2532141200 is about 1363.0003683629. Note that the first 3 decimals are identical.

Adding to 2532141200 its reverse (21412352), we get a palindrome (2553553552).

The spelling of 2532141200 in words is "two billion, five hundred thirty-two million, one hundred forty-one thousand, two hundred".