2189760686656 has 63 divisors (see below), whose sum is σ = 4388123105499. Its totient is φ = 1084196302848.

The previous prime is 2189760686653. The next prime is 2189760686681. The reversal of 2189760686656 is 6566860679812.

The square root of 2189760686656 is 1479784.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1112349902400 + 1077410784256 = 1054680^2 + 1037984^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2189760686653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1290370800 + ... + 1290372496.

Almost surely, 2^{2189760686656} is an apocalyptic number.

2189760686656 is the 1479784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2189760686656

2189760686656 is an abundant number, since it is smaller than the sum of its proper divisors (2198362418843).

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

2189760686656 is an frugal number, since it uses more digits than its factorization.

2189760686656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3624 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 70.

It can be divided in two parts, 2189760 and 686656, that added together give a square (2876416 = 1696²).

The spelling of 2189760686656 in words is "two trillion, one hundred eighty-nine billion, seven hundred sixty million, six hundred eighty-six thousand, six hundred fifty-six".