2105980800 has 864 divisors, whose sum is σ = 9109026360. Its totient is φ = 425779200.

The previous prime is 2105980787. The next prime is 2105980819. The reversal of 2105980800 is 80895012.

It is a happy number.

2105980800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 56918382 + ... + 56918418.

Almost surely, 2^2105980800 is an apocalyptic number.

2105980800 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 2105980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4554513180).

2105980800 is an abundant number, since it is smaller than the sum of its proper divisors (7003045560).

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

2105980800 is a wasteful number, since it uses less digits than its factorization.

2105980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 2105980800 is about 45890.9664313141. The cubic root of 2105980800 is about 1281.7937091962.

The spelling of 2105980800 in words is "two billion, one hundred five million, nine hundred eighty thousand, eight hundred".