2164769335120 has 80 divisors (see below), whose sum is σ = 5849594709120. Its totient is φ = 729626844672.

The previous prime is 2164769335109. The next prime is 2164769335147. The reversal of 2164769335120 is 215339674612.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32726787 + ... + 32792866.

It is an arithmetic number, because the mean of its divisors is an integer number (73119933864).

Almost surely, 2^{2164769335120} is an apocalyptic number.

2164769335120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2164769335120 is an abundant number, since it is smaller than the sum of its proper divisors (3684825374000).

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

2164769335120 is a wasteful number, since it uses less digits than its factorization.

2164769335120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65519732 (or 65519726 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

The spelling of 2164769335120 in words is "two trillion, one hundred sixty-four billion, seven hundred sixty-nine million, three hundred thirty-five thousand, one hundred twenty".