2033041200 has 120 divisors (see below), whose sum is σ = 6525774288. Its totient is φ = 541040640.

The previous prime is 2033041189. The next prime is 2033041207. The reversal of 2033041200 is 21403302.

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 2033041200.

It is not an unprimeable number, because it can be changed into a prime (2033041207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 710172 + ... + 713028.

Almost surely, 2^2033041200 is an apocalyptic number.

2033041200 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 2033041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3262887144).

2033041200 is an abundant number, since it is smaller than the sum of its proper divisors (4492733088).

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

2033041200 is a wasteful number, since it uses less digits than its factorization.

2033041200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3471 (or 3460 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2033041200 is about 45089.2581442631. The cubic root of 2033041200 is about 1266.8214061497.

Adding to 2033041200 its reverse (21403302), we get a palindrome (2054444502).

It can be divided in two parts, 203 and 3041200, that added together give a palindrome (3041403).

The spelling of 2033041200 in words is "two billion, thirty-three million, forty-one thousand, two hundred".