2168933760 has 640 divisors, whose sum is σ = 9123206400. Its totient is φ = 480743424.

The previous prime is 2168933719. The next prime is 2168933761. The reversal of 2168933760 is 673398612.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2168933761) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 15603771 + ... + 15603909.

It is an arithmetic number, because the mean of its divisors is an integer number (14255010).

Almost surely, 2^2168933760 is an apocalyptic number.

2168933760 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 2168933760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4561603200).

2168933760 is an abundant number, since it is smaller than the sum of its proper divisors (6954272640).

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

2168933760 is a wasteful number, since it uses less digits than its factorization.

2168933760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2168933760 is about 46571.8129344349. The cubic root of 2168933760 is about 1294.4405110363.

The spelling of 2168933760 in words is "two billion, one hundred sixty-eight million, nine hundred thirty-three thousand, seven hundred sixty".