2105870400 has 210 divisors, whose sum is σ = 7741126250. Its totient is φ = 561530880.

The previous prime is 2105870399. The next prime is 2105870407. The reversal of 2105870400 is 40785012.

It can be written as a sum of positive squares in 3 ways, for example, as 183223296 + 1922647104 = 13536^2 + 43848^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2105870407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 121476 + ... + 137724.

Almost surely, 2^2105870400 is an apocalyptic number.

2105870400 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 2105870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870563125).

2105870400 is an abundant number, since it is smaller than the sum of its proper divisors (5635255850).

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

2105870400 is a wasteful number, since it uses less digits than its factorization.

2105870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16283 (or 16259 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2105870400 is about 45889.7635644378. The cubic root of 2105870400 is about 1281.7713106858.

The spelling of 2105870400 in words is "two billion, one hundred five million, eight hundred seventy thousand, four hundred".