2078220160 has 128 divisors (see below), whose sum is σ = 5180947200. Its totient is φ = 797091840.

The previous prime is 2078220149. The next prime is 2078220161. The reversal of 2078220160 is 610228702.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2078220161) 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 15 ways as a sum of consecutive naturals, for example, 19066186 + ... + 19066294.

It is an arithmetic number, because the mean of its divisors is an integer number (40476150).

Almost surely, 2^2078220160 is an apocalyptic number.

2078220160 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 2078220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590473600).

2078220160 is an abundant number, since it is smaller than the sum of its proper divisors (3102727040).

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

2078220160 is an frugal number, since it uses more digits than its factorization.

2078220160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 2078220160 is about 45587.5000411297. The cubic root of 2078220160 is about 1276.1366585487.

Adding to 2078220160 its reverse (610228702), we get a palindrome (2688448862).

The spelling of 2078220160 in words is "two billion, seventy-eight million, two hundred twenty thousand, one hundred sixty".