2004004140 has 48 divisors (see below), whose sum is σ = 5613750240. Its totient is φ = 534159360.

The previous prime is 2004004133. The next prime is 2004004141. The reversal of 2004004140 is 414004002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2004004141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155130 + ... + 167550.

It is an arithmetic number, because the mean of its divisors is an integer number (116953130).

Almost surely, 2^2004004140 is an apocalyptic number.

2004004140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004004140 is an abundant number, since it is smaller than the sum of its proper divisors (3609746100).

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

2004004140 is a wasteful number, since it uses less digits than its factorization.

2004004140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15122 (or 15120 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2004004140 is about 44766.1048115647. The cubic root of 2004004140 is about 1260.7613061056.

Adding to 2004004140 its reverse (414004002), we get a palindrome (2418008142).

The spelling of 2004004140 in words is "two billion, four million, four thousand, one hundred forty".