2193680907664 has 135 divisors (see below), whose sum is σ = 4724806213057. Its totient is φ = 986394230272.

The previous prime is 2193680907661. The next prime is 2193680907667. The reversal of 2193680907664 is 4667090863912.

The square root of 2193680907664 is 1481108.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (2193680907661) and next prime (2193680907667).

It can be written as a sum of positive squares in only one way, i.e., 1707883059600 + 485797848064 = 1306860^2 + 696992^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2193680907661) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2316452439 + ... + 2316453385.

Almost surely, 2^{2193680907664} is an apocalyptic number.

2193680907664 is the 1481108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2193680907664

2193680907664 is an abundant number, since it is smaller than the sum of its proper divisors (2531125305393).

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

2193680907664 is an frugal number, since it uses more digits than its factorization.

2193680907664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 61.

The spelling of 2193680907664 in words is "two trillion, one hundred ninety-three billion, six hundred eighty million, nine hundred seven thousand, six hundred sixty-four".