2004234144 has 48 divisors (see below), whose sum is σ = 5739400800. Its totient is φ = 607343360.

The previous prime is 2004234139. The next prime is 2004234151. The reversal of 2004234144 is 4414324002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 947919 + ... + 950030.

It is an arithmetic number, because the mean of its divisors is an integer number (119570850).

Almost surely, 2^2004234144 is an apocalyptic number.

2004234144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2004234144 is an abundant number, since it is smaller than the sum of its proper divisors (3735166656).

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

2004234144 is a wasteful number, since it uses less digits than its factorization.

2004234144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897973 (or 1897965 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2004234144 is about 44768.6736904278. The cubic root of 2004234144 is about 1260.8095377176.

Adding to 2004234144 its reverse (4414324002), we get a palindrome (6418558146).

The spelling of 2004234144 in words is "two billion, four million, two hundred thirty-four thousand, one hundred forty-four".