2144574960 has 120 divisors (see below), whose sum is σ = 7307605200. Its totient is φ = 519889920.

The previous prime is 2144574937. The next prime is 2144574977. The reversal of 2144574960 is 694754412.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7885 + ... + 65964.

It is an arithmetic number, because the mean of its divisors is an integer number (60896710).

Almost surely, 2^2144574960 is an apocalyptic number.

2144574960 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 2144574960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3653802600).

2144574960 is an abundant number, since it is smaller than the sum of its proper divisors (5163030240).

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

2144574960 is a wasteful number, since it uses less digits than its factorization.

2144574960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73887 (or 73870 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 2144574960 is about 46309.5558173472. Note that the first 3 decimals coincide. The cubic root of 2144574960 is about 1289.5764007887.

The spelling of 2144574960 in words is "two billion, one hundred forty-four million, five hundred seventy-four thousand, nine hundred sixty".