24144221002240 has 160 divisors (see below), whose sum is σ = 59290301892096. Its totient is φ = 9424413573120.

The previous prime is 24144221002193. The next prime is 24144221002243. The reversal of 24144221002240 is 4220012244142.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×24144221002240² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24144221002199 and 24144221002208.

It is not an unprimeable number, because it can be changed into a prime (24144221002243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120217105 + ... + 120417775.

Almost surely, 2^{24144221002240} is an apocalyptic number.

24144221002240 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 24144221002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29645150946048).

24144221002240 is an abundant number, since it is smaller than the sum of its proper divisors (35146080889856).

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

24144221002240 is a wasteful number, since it uses less digits than its factorization.

24144221002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201830 (or 201814 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 24144221002240 its reverse (4220012244142), we get a palindrome (28364233246382).

The spelling of 24144221002240 in words is "twenty-four trillion, one hundred forty-four billion, two hundred twenty-one million, two thousand, two hundred forty".