2004134022 has 128 divisors (see below), whose sum is σ = 5142528000. Its totient is φ = 572171040.

The previous prime is 2004134017. The next prime is 2004134039. The reversal of 2004134022 is 2204314002.

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

It is a junction number, because it is equal to n+sod(n) for n = 2004133986 and 2004134004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2696983 + ... + 2697725.

It is an arithmetic number, because the mean of its divisors is an integer number (40176000).

Almost surely, 2^2004134022 is an apocalyptic number.

2004134022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004134022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571264000).

2004134022 is an abundant number, since it is smaller than the sum of its proper divisors (3138393978).

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

2004134022 is a wasteful number, since it uses less digits than its factorization.

2004134022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1017 counting only the distinct ones).

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

The square root of 2004134022 is about 44767.5554615170. Note that the first 3 decimals coincide. The cubic root of 2004134022 is about 1260.7885426865.

Adding to 2004134022 its reverse (2204314002), we get a palindrome (4208448024).

The spelling of 2004134022 in words is "two billion, four million, one hundred thirty-four thousand, twenty-two".