2168055760 has 80 divisors (see below), whose sum is σ = 5443651584. Its totient is φ = 798276096.

The previous prime is 2168055751. The next prime is 2168055761. The reversal of 2168055760 is 675508612.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2168055761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395599 + ... + 401041.

Almost surely, 2^2168055760 is an apocalyptic number.

2168055760 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 2168055760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721825792).

2168055760 is an abundant number, since it is smaller than the sum of its proper divisors (3275595824).

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

2168055760 is a wasteful number, since it uses less digits than its factorization.

2168055760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5852 (or 5846 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 2168055760 is about 46562.3856777120. The cubic root of 2168055760 is about 1294.2658211831.

The spelling of 2168055760 in words is "two billion, one hundred sixty-eight million, fifty-five thousand, seven hundred sixty".