2195568000 has 384 divisors, whose sum is σ = 8026012800. Its totient is φ = 575078400.

The previous prime is 2195567987. The next prime is 2195568007. The reversal of 2195568000 is 8655912.

It is a happy number.

2195568000 is a `hidden beast` number, since 2 + 1 + 95 + 568 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2195568007) 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, 11375904 + ... + 11376096.

It is an arithmetic number, because the mean of its divisors is an integer number (20901075).

Almost surely, 2^2195568000 is an apocalyptic number.

2195568000 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 2195568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4013006400).

2195568000 is an abundant number, since it is smaller than the sum of its proper divisors (5830444800).

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

2195568000 is a wasteful number, since it uses less digits than its factorization.

2195568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 2195568000 is about 46856.8885010518. Note that the first 3 decimals coincide. The cubic root of 2195568000 is about 1299.7174928525.

The spelling of 2195568000 in words is "two billion, one hundred ninety-five million, five hundred sixty-eight thousand".