2166281286624 has 432 divisors, whose sum is σ = 7966345645440. Its totient is φ = 552895580160.

The previous prime is 2166281286623. The next prime is 2166281286629. The reversal of 2166281286624 is 4266821826612.

2166281286624 is a `hidden beast` number, since 2 + 1 + 6 + 6 + 2 + 8 + 1 + 2 + 8 + 6 + 624 = 666.

It is a super-2 number, since 2×2166281286624² (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166281286623) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5496682 + ... + 5877590.

It is an arithmetic number, because the mean of its divisors is an integer number (18440614920).

Almost surely, 2^{2166281286624} is an apocalyptic number.

2166281286624 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 2166281286624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983172822720).

2166281286624 is an abundant number, since it is smaller than the sum of its proper divisors (5800064358816).

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

2166281286624 is a wasteful number, since it uses less digits than its factorization.

2166281286624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380983 (or 380965 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 2166281286624 in words is "two trillion, one hundred sixty-six billion, two hundred eighty-one million, two hundred eighty-six thousand, six hundred twenty-four".