2121671756064 has 192 divisors, whose sum is σ = 6429529370880. Its totient is φ = 600058368000.

The previous prime is 2121671756021. The next prime is 2121671756077. The reversal of 2121671756064 is 4606571761212.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80046814 + ... + 80073314.

It is an arithmetic number, because the mean of its divisors is an integer number (33487132140).

Almost surely, 2^{2121671756064} is an apocalyptic number.

2121671756064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121671756064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214764685440).

2121671756064 is an abundant number, since it is smaller than the sum of its proper divisors (4307857614816).

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

2121671756064 is a wasteful number, since it uses less digits than its factorization.

2121671756064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27723 (or 27715 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 2121671756064 in words is "two trillion, one hundred twenty-one billion, six hundred seventy-one million, seven hundred fifty-six thousand, sixty-four".