2144240032 has 72 divisors (see below), whose sum is σ = 4655070756. Its totient is φ = 971520000.

The previous prime is 2144240029. The next prime is 2144240047. The reversal of 2144240032 is 2300424412.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1932129936 + 212110096 = 43956^2 + 14564^2 .

It is a super-2 number, since 2×2144240032² = 9195530629662722048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2144239985 and 2144240012.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1551982 + ... + 1553362.

Almost surely, 2^2144240032 is an apocalyptic number.

2144240032 is a gapful number since it is divisible by the number (22) 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 2144240032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327535378).

2144240032 is an abundant number, since it is smaller than the sum of its proper divisors (2510830724).

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

2144240032 is a wasteful number, since it uses less digits than its factorization.

2144240032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2144240032 is about 46305.9394894435. The cubic root of 2144240032 is about 1289.5092642948.

Adding to 2144240032 its reverse (2300424412), we get a palindrome (4444664444).

The spelling of 2144240032 in words is "two billion, one hundred forty-four million, two hundred forty thousand, thirty-two".