2119736080 has 360 divisors, whose sum is σ = 6514504920. Its totient is φ = 638668800.

The previous prime is 2119736071. The next prime is 2119736081. The reversal of 2119736080 is 806379112.

It can be written as a sum of positive squares in 4 ways, for example, as 41835024 + 2077901056 = 6468^2 + 45584^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2119736081) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19447066 + ... + 19447174.

It is an arithmetic number, because the mean of its divisors is an integer number (18095847).

Almost surely, 2^2119736080 is an apocalyptic number.

2119736080 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 2119736080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257252460).

2119736080 is an abundant number, since it is smaller than the sum of its proper divisors (4394768840).

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

2119736080 is a wasteful number, since it uses less digits than its factorization.

2119736080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 2119736080 is about 46040.5916556249. The cubic root of 2119736080 is about 1284.5783473261.

The spelling of 2119736080 in words is "two billion, one hundred nineteen million, seven hundred thirty-six thousand, eighty".