2042884800 has 420 divisors, whose sum is σ = 8197495416. Its totient is φ = 494899200.

The previous prime is 2042884793. The next prime is 2042884801. The reversal of 2042884800 is 84882402.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042884801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1424884 + ... + 1426316.

Almost surely, 2^2042884800 is an apocalyptic number.

2042884800 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 2042884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4098747708).

2042884800 is an abundant number, since it is smaller than the sum of its proper divisors (6154610616).

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

2042884800 is a wasteful number, since it uses less digits than its factorization.

2042884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 2042884800 is about 45198.2831532349. The cubic root of 2042884800 is about 1268.8626848721.

The spelling of 2042884800 in words is "two billion, forty-two million, eight hundred eighty-four thousand, eight hundred".