2004402120 has 64 divisors (see below), whose sum is σ = 6872238720. Its totient is φ = 458148864.

The previous prime is 2004402107. The next prime is 2004402139. The reversal of 2004402120 is 212044002.

2004402120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 2004402120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1192257 + ... + 1193936.

It is an arithmetic number, because the mean of its divisors is an integer number (107378730).

Almost surely, 2^2004402120 is an apocalyptic number.

2004402120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004402120 is an abundant number, since it is smaller than the sum of its proper divisors (4867836600).

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

2004402120 is a wasteful number, since it uses less digits than its factorization.

2004402120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386214 (or 2386210 counting only the distinct ones).

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

The square root of 2004402120 is about 44770.5496950842. The cubic root of 2004402120 is about 1260.8447597877.

Adding to 2004402120 its reverse (212044002), we get a palindrome (2216446122).

The spelling of 2004402120 in words is "two billion, four million, four hundred two thousand, one hundred twenty".