2442241413144 has 64 divisors (see below), whose sum is σ = 7305850389600. Its totient is φ = 751458895488.

The previous prime is 2442241413133. The next prime is 2442241413167. The reversal of 2442241413144 is 4413141422442.

2442241413144 is a `hidden beast` number, since 2 + 4 + 4 + 224 + 1 + 413 + 14 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2442241413099 and 2442241413108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 434869239 + ... + 434874854.

Almost surely, 2^{2442241413144} is an apocalyptic number.

2442241413144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2442241413144 is an abundant number, since it is smaller than the sum of its proper divisors (4863608976456).

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

2442241413144 is a wasteful number, since it uses less digits than its factorization.

2442241413144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869744121 (or 869744111 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

Adding to 2442241413144 its reverse (4413141422442), we get a palindrome (6855382835586).

The spelling of 2442241413144 in words is "two trillion, four hundred forty-two billion, two hundred forty-one million, four hundred thirteen thousand, one hundred forty-four".