2004213042 has 48 divisors (see below), whose sum is σ = 4701086208. Its totient is φ = 613438560.

The previous prime is 2004213007. The next prime is 2004213047. The reversal of 2004213042 is 2403124002.

2004213042 is a `hidden beast` number, since 200 + 421 + 3 + 0 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2004213047) 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, 22273 + ... + 67115.

It is an arithmetic number, because the mean of its divisors is an integer number (97939296).

Almost surely, 2^2004213042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004213042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350543104).

2004213042 is an abundant number, since it is smaller than the sum of its proper divisors (2696873166).

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

2004213042 is a wasteful number, since it uses less digits than its factorization.

2004213042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45055 (or 45052 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2004213042 is about 44768.4380116171. The cubic root of 2004213042 is about 1260.8051128028.

Adding to 2004213042 its reverse (2403124002), we get a palindrome (4407337044).

The spelling of 2004213042 in words is "two billion, four million, two hundred thirteen thousand, forty-two".