2170830144 has 84 divisors (see below), whose sum is σ = 6681423264. Its totient is φ = 620234496.

The previous prime is 2170830143. The next prime is 2170830191. The reversal of 2170830144 is 4410380712.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2170830143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105964 + ... + 124779.

Almost surely, 2^2170830144 is an apocalyptic number.

2170830144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2170830144 is an abundant number, since it is smaller than the sum of its proper divisors (4510593120).

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

2170830144 is a wasteful number, since it uses less digits than its factorization.

2170830144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230772 (or 230755 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 2170830144 is about 46592.1682689269. The cubic root of 2170830144 is about 1294.8176612036.

The spelling of 2170830144 in words is "two billion, one hundred seventy million, eight hundred thirty thousand, one hundred forty-four".