2004121440 has 240 divisors, whose sum is σ = 7195502160. Its totient is φ = 525173760.

The previous prime is 2004121439. The next prime is 2004121519. The reversal of 2004121440 is 441214002.

2004121440 is a `hidden beast` number, since 200 + 4 + 1 + 21 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 763330 + ... + 765950.

It is an arithmetic number, because the mean of its divisors is an integer number (29981259).

Almost surely, 2^2004121440 is an apocalyptic number.

2004121440 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 2004121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597751080).

2004121440 is an abundant number, since it is smaller than the sum of its proper divisors (5191380720).

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

2004121440 is a wasteful number, since it uses less digits than its factorization.

2004121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2707 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2004121440 is about 44767.4149354193. The cubic root of 2004121440 is about 1260.7859042611.

Adding to 2004121440 its reverse (441214002), we get a palindrome (2445335442).

The spelling of 2004121440 in words is "two billion, four million, one hundred twenty-one thousand, four hundred forty".