2004140400 has 120 divisors (see below), whose sum is σ = 6430243200. Its totient is φ = 533579520.

The previous prime is 2004140399. The next prime is 2004140407. The reversal of 2004140400 is 40414002.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2004140400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004140407) 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, 1178751 + ... + 1180449.

It is an arithmetic number, because the mean of its divisors is an integer number (53585360).

Almost surely, 2^2004140400 is an apocalyptic number.

2004140400 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 2004140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215121600).

2004140400 is an abundant number, since it is smaller than the sum of its proper divisors (4426102800).

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

2004140400 is a wasteful number, since it uses less digits than its factorization.

2004140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703 (or 2692 counting only the distinct ones).

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

The square root of 2004140400 is about 44767.6266960848. The cubic root of 2004140400 is about 1260.7898801388.

Adding to 2004140400 its reverse (40414002), we get a palindrome (2044554402).

The spelling of 2004140400 in words is "two billion, four million, one hundred forty thousand, four hundred".