2004140100 has 72 divisors (see below), whose sum is σ = 5828251968. Its totient is φ = 531708800.

The previous prime is 2004140069. The next prime is 2004140119. The reversal of 2004140100 is 10414002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42145 + ... + 76055.

It is an arithmetic number, because the mean of its divisors is an integer number (80947944).

Almost surely, 2^2004140100 is an apocalyptic number.

2004140100 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 2004140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914125984).

2004140100 is an abundant number, since it is smaller than the sum of its proper divisors (3824111868).

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

2004140100 is a wasteful number, since it uses less digits than its factorization.

2004140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34125 (or 34118 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2004140100 is about 44767.6233454491. The cubic root of 2004140100 is about 1260.7898172295.

Adding to 2004140100 its reverse (10414002), we get a palindrome (2014554102).

The spelling of 2004140100 in words is "two billion, four million, one hundred forty thousand, one hundred".