2424400044242 has 24 divisors (see below), whose sum is σ = 3998732335248. Its totient is φ = 1101592629720.

The previous prime is 2424400044239. The next prime is 2424400044263.

2424400044242 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2424400044242² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2424400044199 and 2424400044208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1195328 + ... + 2505515.

It is an arithmetic number, because the mean of its divisors is an integer number (166613847302).

Almost surely, 2^{2424400044242} is an apocalyptic number.

2424400044242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2424400044242 is a deficient number, since it is larger than the sum of its proper divisors (1574332291006).

2424400044242 is a wasteful number, since it uses less digits than its factorization.

2424400044242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3703574 (or 3703563 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

It can be divided in two parts, 24244000 and 44242, that added together give a palindrome (24288242).

The spelling of 2424400044242 in words is "two trillion, four hundred twenty-four billion, four hundred million, forty-four thousand, two hundred forty-two".