2104064400 has 120 divisors (see below), whose sum is σ = 6832633120. Its totient is φ = 553374720.

The previous prime is 2104064353. The next prime is 2104064411. The reversal of 2104064400 is 44604012.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75591 + ... + 99609.

Almost surely, 2^2104064400 is an apocalyptic number.

2104064400 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 2104064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416316560).

2104064400 is an abundant number, since it is smaller than the sum of its proper divisors (4728568720).

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

2104064400 is a wasteful number, since it uses less digits than its factorization.

2104064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24113 (or 24102 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2104064400 is about 45870.0817527067. The cubic root of 2104064400 is about 1281.4047890722.

Adding to 2104064400 its reverse (44604012), we get a palindrome (2148668412).

The spelling of 2104064400 in words is "two billion, one hundred four million, sixty-four thousand, four hundred".