2193904232960 has 640 divisors, whose sum is σ = 6177204633600. Its totient is φ = 738904965120.

The previous prime is 2193904232953. The next prime is 2193904232969. The reversal of 2193904232960 is 692324093912.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a junction number, because it is equal to n+sod(n) for n = 2193904232899 and 2193904232908.

It is not an unprimeable number, because it can be changed into a prime (2193904232969) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5639856446 + ... + 5639856834.

It is an arithmetic number, because the mean of its divisors is an integer number (9651882240).

Almost surely, 2^{2193904232960} is an apocalyptic number.

2193904232960 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 2193904232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088602316800).

2193904232960 is an abundant number, since it is smaller than the sum of its proper divisors (3983300400640).

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

2193904232960 is a wasteful number, since it uses less digits than its factorization.

2193904232960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 50.

The spelling of 2193904232960 in words is "two trillion, one hundred ninety-three billion, nine hundred four million, two hundred thirty-two thousand, nine hundred sixty".