2109142080 has 168 divisors, whose sum is σ = 7451015832. Its totient is φ = 547209216.

The previous prime is 2109142037. The next prime is 2109142081. The reversal of 2109142080 is 802419012.

It can be written as a sum of positive squares in 4 ways, for example, as 901440576 + 1207701504 = 30024^2 + 34752^2 .

It is not an unprimeable number, because it can be changed into a prime (2109142081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96664 + ... + 116456.

Almost surely, 2^2109142080 is an apocalyptic number.

2109142080 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 2109142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725507916).

2109142080 is an abundant number, since it is smaller than the sum of its proper divisors (5341873752).

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

2109142080 is a wasteful number, since it uses less digits than its factorization.

2109142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19853 (or 19840 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2109142080 is about 45925.3968953998. The cubic root of 2109142080 is about 1282.4347538140.

The spelling of 2109142080 in words is "two billion, one hundred nine million, one hundred forty-two thousand, eighty".