2004142040 has 96 divisors (see below), whose sum is σ = 4862047680. Its totient is φ = 743053824.

The previous prime is 2004142009. The next prime is 2004142043. The reversal of 2004142040 is 402414002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004142043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 677204 + ... + 680156.

It is an arithmetic number, because the mean of its divisors is an integer number (50646330).

Almost surely, 2^2004142040 is an apocalyptic number.

2004142040 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 2004142040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431023840).

2004142040 is an abundant number, since it is smaller than the sum of its proper divisors (2857905640).

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

2004142040 is a wasteful number, since it uses less digits than its factorization.

2004142040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3049 (or 3026 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 2004142040 is about 44767.6450128885. The cubic root of 2004142040 is about 1260.7902240426.

Adding to 2004142040 its reverse (402414002), we get a palindrome (2406556042).

The spelling of 2004142040 in words is "two billion, four million, one hundred forty-two thousand, forty".