2032241200 has 240 divisors, whose sum is σ = 5716643040. Its totient is φ = 686080000.

The previous prime is 2032241179. The next prime is 2032241209. The reversal of 2032241200 is 21422302.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2032241209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7554666 + ... + 7554934.

It is an arithmetic number, because the mean of its divisors is an integer number (23819346).

Almost surely, 2^2032241200 is an apocalyptic number.

2032241200 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 2032241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858321520).

2032241200 is an abundant number, since it is smaller than the sum of its proper divisors (3684401840).

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

2032241200 is a wasteful number, since it uses less digits than its factorization.

2032241200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2032241200 is about 45080.3859788268. The cubic root of 2032241200 is about 1266.6552199643.

Adding to 2032241200 its reverse (21422302), we get a palindrome (2053663502).

The spelling of 2032241200 in words is "two billion, thirty-two million, two hundred forty-one thousand, two hundred".