2424241441000 has 128 divisors (see below), whose sum is σ = 5716939512960. Its totient is φ = 962145600000.

The previous prime is 2424241440977. The next prime is 2424241441031. The reversal of 2424241441000 is 1441424242.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2424241441000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 445384279 + ... + 445389721.

It is an arithmetic number, because the mean of its divisors is an integer number (44663589945).

Almost surely, 2^{2424241441000} is an apocalyptic number.

2424241441000 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 2424241441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858469756480).

2424241441000 is an abundant number, since it is smaller than the sum of its proper divisors (3292698071960).

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

2424241441000 is a wasteful number, since it uses less digits than its factorization.

2424241441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8852 (or 8838 counting only the distinct ones).

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

Adding to 2424241441000 its reverse (1441424242), we get a palindrome (2425682865242).

The spelling of 2424241441000 in words is "two trillion, four hundred twenty-four billion, two hundred forty-one million, four hundred forty-one thousand".