2105966400 has 168 divisors, whose sum is σ = 7132710144. Its totient is φ = 543436800.

The previous prime is 2105966393. The next prime is 2105966417. The reversal of 2105966400 is 46695012.

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, 141724 + ... + 155876.

It is an arithmetic number, because the mean of its divisors is an integer number (42456608).

Almost surely, 2^2105966400 is an apocalyptic number.

2105966400 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 2105966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566355072).

2105966400 is an abundant number, since it is smaller than the sum of its proper divisors (5026743744).

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

2105966400 is a wasteful number, since it uses less digits than its factorization.

2105966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14209 (or 14194 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 2105966400 is about 45890.8095374226. The cubic root of 2105966400 is about 1281.7907876957.

The spelling of 2105966400 in words is "two billion, one hundred five million, nine hundred sixty-six thousand, four hundred".