2140882080 has 384 divisors, whose sum is σ = 7544275200. Its totient is φ = 507838464.

The previous prime is 2140882069. The next prime is 2140882087. The reversal of 2140882080 is 802880412.

2140882080 is digitally balanced in base 4 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2140882087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19641066 + ... + 19641174.

It is an arithmetic number, because the mean of its divisors is an integer number (19646550).

Almost surely, 2^2140882080 is an apocalyptic number.

2140882080 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 2140882080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3772137600).

2140882080 is an abundant number, since it is smaller than the sum of its proper divisors (5403393120).

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

2140882080 is a wasteful number, since it uses less digits than its factorization.

2140882080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 2140882080 is about 46269.6669536317. Note that the first 3 decimals coincide. The cubic root of 2140882080 is about 1288.8357743118.

The spelling of 2140882080 in words is "two billion, one hundred forty million, eight hundred eighty-two thousand, eighty".