2108660400 has 360 divisors, whose sum is σ = 9124487424. Its totient is φ = 438105600.

The previous prime is 2108660371. The next prime is 2108660459. The reversal of 2108660400 is 40668012.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 273397 + ... + 281003.

Almost surely, 2^2108660400 is an apocalyptic number.

2108660400 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 2108660400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4562243712).

2108660400 is an abundant number, since it is smaller than the sum of its proper divisors (7015827024).

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

2108660400 is a wasteful number, since it uses less digits than its factorization.

2108660400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7649 (or 7635 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2108660400 is about 45920.1524387714. The cubic root of 2108660400 is about 1282.3371200875.

The spelling of 2108660400 in words is "two billion, one hundred eight million, six hundred sixty thousand, four hundred".