2131033200 has 120 divisors (see below), whose sum is σ = 6839905968. Its totient is φ = 567152640.

The previous prime is 2131033193. The next prime is 2131033271. The reversal of 2131033200 is 23301312.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2131033200.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 734152 + ... + 737048.

Almost surely, 2^2131033200 is an apocalyptic number.

2131033200 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 2131033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3419952984).

2131033200 is an abundant number, since it is smaller than the sum of its proper divisors (4708872768).

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

2131033200 is a wasteful number, since it uses less digits than its factorization.

2131033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3531 (or 3520 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2131033200 is about 46163.1151461857. The cubic root of 2131033200 is about 1286.8563559482.

Adding to 2131033200 its reverse (23301312), we get a palindrome (2154334512).

The spelling of 2131033200 in words is "two billion, one hundred thirty-one million, thirty-three thousand, two hundred".