2144712960 has 216 divisors, whose sum is σ = 7991847864. Its totient is φ = 527892480.

The previous prime is 2144712949. The next prime is 2144712961. The reversal of 2144712960 is 692174412.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 95883264 + 2048829696 = 9792^2 + 45264^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144712961) 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, 142600 + ... + 156920.

Almost surely, 2^2144712960 is an apocalyptic number.

2144712960 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 2144712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3995923932).

2144712960 is an abundant number, since it is smaller than the sum of its proper divisors (5847134904).

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

2144712960 is a wasteful number, since it uses less digits than its factorization.

2144712960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14361 (or 14344 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2144712960 is about 46311.0457666419. The cubic root of 2144712960 is about 1289.6040609280.

It can be divided in two parts, 214 and 4712960, that added together give a palindrome (4713174).

The spelling of 2144712960 in words is "two billion, one hundred forty-four million, seven hundred twelve thousand, nine hundred sixty".