2053632100 has 288 divisors, whose sum is σ = 5424652800. Its totient is φ = 667699200.

The previous prime is 2053632083. The next prime is 2053632101. The reversal of 2053632100 is 12363502.

It is not an unprimeable number, because it can be changed into a prime (2053632101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33666070 + ... + 33666130.

It is an arithmetic number, because the mean of its divisors is an integer number (18835600).

Almost surely, 2^2053632100 is an apocalyptic number.

2053632100 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 2053632100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712326400).

2053632100 is an abundant number, since it is smaller than the sum of its proper divisors (3371020700).

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

2053632100 is a wasteful number, since it uses less digits than its factorization.

2053632100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 2053632100 is about 45317.0177747830. The cubic root of 2053632100 is about 1271.0838908518.

Adding to 2053632100 its reverse (12363502), we get a palindrome (2065995602).

The spelling of 2053632100 in words is "two billion, fifty-three million, six hundred thirty-two thousand, one hundred".