2144975360 has 240 divisors, whose sum is σ = 5949342432. Its totient is φ = 735436800.

The previous prime is 2144975353. The next prime is 2144975363. The reversal of 2144975360 is 635794412.

It is not an unprimeable number, because it can be changed into a prime (2144975363) 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, 10165655 + ... + 10165865.

Almost surely, 2^2144975360 is an apocalyptic number.

2144975360 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 2144975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974671216).

2144975360 is an abundant number, since it is smaller than the sum of its proper divisors (3804367072).

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

2144975360 is a wasteful number, since it uses less digits than its factorization.

2144975360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 2144975360 is about 46313.8786974272. The cubic root of 2144975360 is about 1289.6566520070.

The spelling of 2144975360 in words is "two billion, one hundred forty-four million, nine hundred seventy-five thousand, three hundred sixty".