2166169104 has 360 divisors, whose sum is σ = 7224287616. Its totient is φ = 603187200.

The previous prime is 2166169069. The next prime is 2166169127. The reversal of 2166169104 is 4019616612.

2166169104 is a `hidden beast` number, since 21 + 6 + 616 + 9 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21030717 + ... + 21030819.

Almost surely, 2^2166169104 is an apocalyptic number.

2166169104 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 2166169104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612143808).

2166169104 is an abundant number, since it is smaller than the sum of its proper divisors (5058118512).

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

2166169104 is a wasteful number, since it uses less digits than its factorization.

2166169104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2166169104 is about 46542.1218252885. The cubic root of 2166169104 is about 1293.8902860970.

The spelling of 2166169104 in words is "two billion, one hundred sixty-six million, one hundred sixty-nine thousand, one hundred four".