2195968320 has 1120 divisors, whose sum is σ = 10326624000. Its totient is φ = 438939648.

The previous prime is 2195968273. The next prime is 2195968321. The reversal of 2195968320 is 238695912.

2195968320 is a `hidden beast` number, since 21 + 9 + 596 + 8 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2195968321) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 115577271 + ... + 115577289.

It is an arithmetic number, because the mean of its divisors is an integer number (9220200).

Almost surely, 2^2195968320 is an apocalyptic number.

2195968320 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 2195968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5163312000).

2195968320 is an abundant number, since it is smaller than the sum of its proper divisors (8130655680).

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

2195968320 is a wasteful number, since it uses less digits than its factorization.

2195968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 2195968320 is about 46861.1600368578. The cubic root of 2195968320 is about 1299.7964809606.

The spelling of 2195968320 in words is "two billion, one hundred ninety-five million, nine hundred sixty-eight thousand, three hundred twenty".