2121083817680 has 80 divisors (see below), whose sum is σ = 4941387351504. Its totient is φ = 846736957440.

The previous prime is 2121083817667. The next prime is 2121083817689. The reversal of 2121083817680 is 867183801212.

It can be written as a sum of positive squares in 8 ways, for example, as 637423398544 + 1483660419136 = 798388^2 + 1218056^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121083817689) 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 15 ways as a sum of consecutive naturals, for example, 169721192 + ... + 169733688.

Almost surely, 2^{2121083817680} is an apocalyptic number.

2121083817680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121083817680 is an abundant number, since it is smaller than the sum of its proper divisors (2820303533824).

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

2121083817680 is a wasteful number, since it uses less digits than its factorization.

2121083817680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16584 (or 16578 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 47.

The spelling of 2121083817680 in words is "two trillion, one hundred twenty-one billion, eighty-three million, eight hundred seventeen thousand, six hundred eighty".