2042112400 has 120 divisors (see below), whose sum is σ = 5275198080. Its totient is φ = 757255680.

The previous prime is 2042112377. The next prime is 2042112421. The reversal of 2042112400 is 42112402.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354342 + ... + 360058.

It is an arithmetic number, because the mean of its divisors is an integer number (43959984).

Almost surely, 2^2042112400 is an apocalyptic number.

2042112400 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 2042112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637599040).

2042112400 is an abundant number, since it is smaller than the sum of its proper divisors (3233085680).

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

2042112400 is a wasteful number, since it uses less digits than its factorization.

2042112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5801 (or 5790 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2042112400 is about 45189.7377730830. The cubic root of 2042112400 is about 1268.7027487721.

Adding to 2042112400 its reverse (42112402), we get a palindrome (2084224802).

The spelling of 2042112400 in words is "two billion, forty-two million, one hundred twelve thousand, four hundred".