2104401600 has 336 divisors, whose sum is σ = 8768486400. Its totient is φ = 480936960.

The previous prime is 2104401539. The next prime is 2104401631. The reversal of 2104401600 is 61044012.

2104401600 is a `hidden beast` number, since 21 + 0 + 4 + 40 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 298921 + ... + 305879.

Almost surely, 2^2104401600 is an apocalyptic number.

2104401600 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 2104401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4384243200).

2104401600 is an abundant number, since it is smaller than the sum of its proper divisors (6664084800).

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

2104401600 is a wasteful number, since it uses less digits than its factorization.

2104401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6997 (or 6976 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2104401600 is about 45873.7572038742. The cubic root of 2104401600 is about 1281.4732385953.

Adding to 2104401600 its reverse (61044012), we get a palindrome (2165445612).

The spelling of 2104401600 in words is "two billion, one hundred four million, four hundred one thousand, six hundred".