2689345880064 has 96 divisors (see below), whose sum is σ = 7769103734340. Its totient is φ = 896448528384.

The previous prime is 2689345880051. The next prime is 2689345880149. The reversal of 2689345880064 is 4600885439862.

2689345880064 is a `hidden beast` number, since 26 + 89 + 3 + 458 + 80 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2689345879983 and 2689345880010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4264662 + ... + 4854485.

Almost surely, 2^{2689345880064} is an apocalyptic number.

2689345880064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2689345880064 is an abundant number, since it is smaller than the sum of its proper divisors (5079757854276).

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

2689345880064 is an frugal number, since it uses more digits than its factorization.

2689345880064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9119183 (or 9119152 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 2689345880064 in words is "two trillion, six hundred eighty-nine billion, three hundred forty-five million, eight hundred eighty thousand, sixty-four".