2146106880 has 320 divisors, whose sum is σ = 7763342400. Its totient is φ = 561807360.

The previous prime is 2146106863. The next prime is 2146106881. The reversal of 2146106880 is 886016412.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146106881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4216066 + ... + 4216574.

It is an arithmetic number, because the mean of its divisors is an integer number (24260445).

Almost surely, 2^2146106880 is an apocalyptic number.

2146106880 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 2146106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3881671200).

2146106880 is an abundant number, since it is smaller than the sum of its proper divisors (5617235520).

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

2146106880 is an equidigital number, since it uses as much as digits as its factorization.

2146106880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2146106880 is about 46326.0928635256. The cubic root of 2146106880 is about 1289.8833858891.

The spelling of 2146106880 in words is "two billion, one hundred forty-six million, one hundred six thousand, eight hundred eighty".