2532100 has 18 divisors (see below), whose sum is σ = 5494874. Its totient is φ = 1012800.

The previous prime is 2532083. The next prime is 2532107. The reversal of 2532100 is 12352.

It can be written as a sum of positive squares in 3 ways, for example, as 412164 + 2119936 = 642^2 + 1456^2 .

It is not an unprimeable number, because it can be changed into a prime (2532107) 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, 12561 + ... + 12760.

2^2532100 is an apocalyptic number.

2532100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2532100 is an abundant number, since it is smaller than the sum of its proper divisors (2962774).

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

2532100 is a wasteful number, since it uses less digits than its factorization.

2532100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25335 (or 25328 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 2532100 is about 1591.2573644763. The cubic root of 2532100 is about 136.2992975947.

Adding to 2532100 its reverse (12352), we get a palindrome (2544452).

The spelling of 2532100 in words is "two million, five hundred thirty-two thousand, one hundred".