2104034400 has 576 divisors, whose sum is σ = 8399462400. Its totient is φ = 505128960.

The previous prime is 2104034389. The next prime is 2104034423. The reversal of 2104034400 is 44304012.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16567137 + ... + 16567263.

It is an arithmetic number, because the mean of its divisors is an integer number (14582400).

Almost surely, 2^2104034400 is an apocalyptic number.

2104034400 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 2104034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4199731200).

2104034400 is an abundant number, since it is smaller than the sum of its proper divisors (6295428000).

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

2104034400 is a wasteful number, since it uses less digits than its factorization.

2104034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 209 counting only the distinct ones).

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

The square root of 2104034400 is about 45869.7547410055. The cubic root of 2104034400 is about 1281.3986989027.

Adding to 2104034400 its reverse (44304012), we get a palindrome (2148338412).

The spelling of 2104034400 in words is "two billion, one hundred four million, thirty-four thousand, four hundred".