2004100002234 has 96 divisors (see below), whose sum is σ = 4999649054400. Its totient is φ = 573796846080.

The previous prime is 2004100002221. The next prime is 2004100002251. The reversal of 2004100002234 is 4322000014002.

2004100002234 is a `hidden beast` number, since 20 + 0 + 410 + 0 + 0 + 0 + 2 + 234 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 689122 + ... + 2117330.

It is an arithmetic number, because the mean of its divisors is an integer number (52079677650).

Almost surely, 2^{2004100002234} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004100002234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499824527200).

2004100002234 is an abundant number, since it is smaller than the sum of its proper divisors (2995549052166).

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

2004100002234 is a wasteful number, since it uses less digits than its factorization.

2004100002234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428620 (or 1428617 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2004100002234 its reverse (4322000014002), we get a palindrome (6326100016236).

The spelling of 2004100002234 in words is "two trillion, four billion, one hundred million, two thousand, two hundred thirty-four".