2180375066688 has 448 divisors, whose sum is σ = 7544710010880. Its totient is φ = 539284635648.

The previous prime is 2180375066677. The next prime is 2180375066713. The reversal of 2180375066688 is 8866605730812.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84044823 + ... + 84070761.

It is an arithmetic number, because the mean of its divisors is an integer number (16840870560).

Almost surely, 2^{2180375066688} is an apocalyptic number.

2180375066688 is a gapful number since it is divisible by the number (28) 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 2180375066688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3772355005440).

2180375066688 is an abundant number, since it is smaller than the sum of its proper divisors (5364334944192).

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

2180375066688 is a wasteful number, since it uses less digits than its factorization.

2180375066688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26274 (or 26264 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 2180375066688 in words is "two trillion, one hundred eighty billion, three hundred seventy-five million, sixty-six thousand, six hundred eighty-eight".