2144172240 has 480 divisors, whose sum is σ = 8774438400. Its totient is φ = 458625024.

The previous prime is 2144172193. The next prime is 2144172271. The reversal of 2144172240 is 422714412.

2144172240 is a `hidden beast` number, since 2 + 1 + 4 + 417 + 2 + 240 = 666.

It is a super-3 number, since 3×2144172240³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6143586 + ... + 6143934.

It is an arithmetic number, because the mean of its divisors is an integer number (18280080).

Almost surely, 2^2144172240 is an apocalyptic number.

2144172240 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 2144172240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4387219200).

2144172240 is an abundant number, since it is smaller than the sum of its proper divisors (6630266160).

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

2144172240 is a wasteful number, since it uses less digits than its factorization.

2144172240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2144172240 is about 46305.2074825284. The cubic root of 2144172240 is about 1289.4956745020.

Adding to 2144172240 its reverse (422714412), we get a palindrome (2566886652).

It can be divided in two parts, 2144172 and 240, that added together give a palindrome (2144412).

The spelling of 2144172240 in words is "two billion, one hundred forty-four million, one hundred seventy-two thousand, two hundred forty".