2004102400 has 108 divisors (see below), whose sum is σ = 4978382752. Its totient is φ = 798750720.

The previous prime is 2004102389. The next prime is 2004102421. The reversal of 2004102400 is 42014002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3116479 + ... + 3117121.

Almost surely, 2^2004102400 is an apocalyptic number.

2004102400 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 2004102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489191376).

2004102400 is an abundant number, since it is smaller than the sum of its proper divisors (2974280352).

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

2004102400 is an equidigital number, since it uses as much as digits as its factorization.

2004102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2004102400 is about 44767.2022802408. The cubic root of 2004102400 is about 1260.7819115822.

Adding to 2004102400 its reverse (42014002), we get a palindrome (2046116402).

The spelling of 2004102400 in words is "two billion, four million, one hundred two thousand, four hundred".