2194144200 has 336 divisors, whose sum is σ = 7776148500. Its totient is φ = 575424000.

The previous prime is 2194144189. The next prime is 2194144201. The reversal of 2194144200 is 24414912.

It is a happy number.

2194144200 is a `hidden beast` number, since 219 + 4 + 1 + 442 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 950735556 + 1243408644 = 30834^2 + 35262^2 .

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 (2194144201) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 14725726 + ... + 14725874.

Almost surely, 2^2194144200 is an apocalyptic number.

2194144200 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 2194144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888074250).

2194144200 is an abundant number, since it is smaller than the sum of its proper divisors (5582004300).

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

2194144200 is a wasteful number, since it uses less digits than its factorization.

2194144200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 260 counting only the distinct ones).

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

The square root of 2194144200 is about 46841.6929668431. The cubic root of 2194144200 is about 1299.4364816020.

The spelling of 2194144200 in words is "two billion, one hundred ninety-four million, one hundred forty-four thousand, two hundred".