2105330400 has 288 divisors, whose sum is σ = 7879183200. Its totient is φ = 541900800.

The previous prime is 2105330351. The next prime is 2105330407. The reversal of 2105330400 is 40335012.

2105330400 is a `hidden beast` number, since 210 + 53 + 3 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105330407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624720 + ... + 628080.

It is an arithmetic number, because the mean of its divisors is an integer number (27358275).

Almost surely, 2^2105330400 is an apocalyptic number.

2105330400 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 2105330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3939591600).

2105330400 is an abundant number, since it is smaller than the sum of its proper divisors (5773852800).

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

2105330400 is a wasteful number, since it uses less digits than its factorization.

2105330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3419 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2105330400 is about 45883.8795221154. The cubic root of 2105330400 is about 1281.6617414742.

Adding to 2105330400 its reverse (40335012), we get a palindrome (2145665412).

The spelling of 2105330400 in words is "two billion, one hundred five million, three hundred thirty thousand, four hundred".