2166884703360 has 1536 divisors, whose sum is σ = 9019216926720. Its totient is φ = 474147717120.

The previous prime is 2166884703359. The next prime is 2166884703397. The reversal of 2166884703360 is 633074886612.

2166884703360 is a `hidden beast` number, since 2 + 1 + 6 + 6 + 88 + 470 + 33 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2166884703297 and 2166884703306.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1696855042 + ... + 1696856318.

It is an arithmetic number, because the mean of its divisors is an integer number (5871886020).

Almost surely, 2^{2166884703360} is an apocalyptic number.

2166884703360 is a gapful number since it is divisible by the number (20) 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 2166884703360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4509608463360).

2166884703360 is an abundant number, since it is smaller than the sum of its proper divisors (6852332223360).

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

2166884703360 is a wasteful number, since it uses less digits than its factorization.

2166884703360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 2166884703360 in words is "two trillion, one hundred sixty-six billion, eight hundred eighty-four million, seven hundred three thousand, three hundred sixty".