2042534200 has 192 divisors, whose sum is σ = 5899622400. Its totient is φ = 641779200.

The previous prime is 2042534191. The next prime is 2042534203. The reversal of 2042534200 is 24352402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042534203) 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, 823362 + ... + 825838.

It is an arithmetic number, because the mean of its divisors is an integer number (30727200).

Almost surely, 2^2042534200 is an apocalyptic number.

2042534200 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 2042534200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949811200).

2042534200 is an abundant number, since it is smaller than the sum of its proper divisors (3857088200).

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

2042534200 is a wasteful number, since it uses less digits than its factorization.

2042534200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 2042534200 is about 45194.4045209139. The cubic root of 2042534200 is about 1268.7900932916.

Adding to 2042534200 its reverse (24352402), we get a palindrome (2066886602).

The spelling of 2042534200 in words is "two billion, forty-two million, five hundred thirty-four thousand, two hundred".