2100394800 has 600 divisors, whose sum is σ = 8828976080. Its totient is φ = 480090240.

The previous prime is 2100394783. The next prime is 2100394871. The reversal of 2100394800 is 84930012.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (600).

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

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 119 ways as a sum of consecutive naturals, for example, 300056397 + ... + 300056403.

Almost surely, 2^2100394800 is an apocalyptic number.

2100394800 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 2100394800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4414488040).

2100394800 is an abundant number, since it is smaller than the sum of its proper divisors (6728581280).

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

2100394800 is an frugal number, since it uses more digits than its factorization.

2100394800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2100394800 is about 45830.0643682725. The cubic root of 2100394800 is about 1280.6594095867.

Multiplying 2100394800 by its sum of digits (27), we get a square (56710659600 = 238140²).

2100394800 divided by its sum of digits (27) gives a square (77792400 = 8820²).

Multiplying 2100394800 by its product of nonzero digits (1728), we get a square (3629482214400 = 1905120²).

It can be divided in two parts, 2100 and 394800, that added together give a square (396900 = 630²).

The spelling of 2100394800 in words is "two billion, one hundred million, three hundred ninety-four thousand, eight hundred".