2195424000 has 1080 divisors, whose sum is σ = 10262956704. Its totient is φ = 456192000.

The previous prime is 2195423987. The next prime is 2195424001. The reversal of 2195424000 is 4245912.

2195424000 is a `hidden beast` number, since 219 + 5 + 42 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 (2195424001) 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 119 ways as a sum of consecutive naturals, for example, 199583995 + ... + 199584005.

Almost surely, 2^2195424000 is an apocalyptic number.

2195424000 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 2195424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5131478352).

2195424000 is an abundant number, since it is smaller than the sum of its proper divisors (8067532704).

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

2195424000 is an equidigital number, since it uses as much as digits as its factorization.

2195424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2195424000 is about 46855.3518821490. The cubic root of 2195424000 is about 1299.6890775160.

Adding to 2195424000 its reverse (4245912), we get a palindrome (2199669912).

It can be divided in two parts, 21954 and 24000, that added together give a palindrome (45954).

The spelling of 2195424000 in words is "two billion, one hundred ninety-five million, four hundred twenty-four thousand".