2532142100 has 18 divisors (see below), whose sum is σ = 5494748574. Its totient is φ = 1012856800.

The previous prime is 2532142091. The next prime is 2532142133. The reversal of 2532142100 is 12412352.

2532142100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 231404944 + 2300737156 = 15212^2 + 47966^2 .

It is a super-2 number, since 2×2532142100² = 12823487229184820000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12660611 + ... + 12660810.

Almost surely, 2^2532142100 is an apocalyptic number.

2532142100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2532142100 is an abundant number, since it is smaller than the sum of its proper divisors (2962606474).

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

2532142100 is a wasteful number, since it uses less digits than its factorization.

2532142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25321435 (or 25321428 counting only the distinct ones).

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

The square root of 2532142100 is about 50320.3944738115. The cubic root of 2532142100 is about 1363.0005298468. Note that the first 3 decimals are identical.

Adding to 2532142100 its reverse (12412352), we get a palindrome (2544554452).

The spelling of 2532142100 in words is "two billion, five hundred thirty-two million, one hundred forty-two thousand, one hundred".