2166939648 has 224 divisors, whose sum is σ = 6550578720. Its totient is φ = 707788800.

The previous prime is 2166939637. The next prime is 2166939673. The reversal of 2166939648 is 8469396612.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a junction number, because it is equal to n+sod(n) for n = 2166939594 and 2166939603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21454798 + ... + 21454898.

It is an arithmetic number, because the mean of its divisors is an integer number (29243655).

Almost surely, 2^2166939648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2166939648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3275289360).

2166939648 is an abundant number, since it is smaller than the sum of its proper divisors (4383639072).

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

2166939648 is an equidigital number, since it uses as much as digits as its factorization.

2166939648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 203 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 2166939648 is about 46550.3990101052. The cubic root of 2166939648 is about 1294.0436876637.

The spelling of 2166939648 in words is "two billion, one hundred sixty-six million, nine hundred thirty-nine thousand, six hundred forty-eight".