2104768000 has 80 divisors (see below), whose sum is σ = 5248530144. Its totient is φ = 841881600.

The previous prime is 2104767991. The next prime is 2104768009. The reversal of 2104768000 is 8674012.

It is an interprime number because it is at equal distance from previous prime (2104767991) and next prime (2104768009).

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2104768000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104768009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47557 + ... + 80443.

Almost surely, 2^2104768000 is an apocalyptic number.

2104768000 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 2104768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624265072).

2104768000 is an abundant number, since it is smaller than the sum of its proper divisors (3143762144).

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

2104768000 is an frugal number, since it uses more digits than its factorization.

2104768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32920 (or 32894 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 2104768000 is about 45877.7505987379. The cubic root of 2104768000 is about 1281.5476072499.

The spelling of 2104768000 in words is "two billion, one hundred four million, seven hundred sixty-eight thousand".