2193600960 has 224 divisors, whose sum is σ = 7773131520. Its totient is φ = 582349824.

The previous prime is 2193600947. The next prime is 2193600961. The reversal of 2193600960 is 690063912.

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 (2193600961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2652067 + ... + 2652893.

It is an arithmetic number, because the mean of its divisors is an integer number (34701480).

Almost surely, 2^2193600960 is an apocalyptic number.

2193600960 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 2193600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886565760).

2193600960 is an abundant number, since it is smaller than the sum of its proper divisors (5579530560).

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

2193600960 is a wasteful number, since it uses less digits than its factorization.

2193600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 2193600960 is about 46835.8939276278. The cubic root of 2193600960 is about 1299.3292318689.

The spelling of 2193600960 in words is "two billion, one hundred ninety-three million, six hundred thousand, nine hundred sixty".