2434410144342 has 288 divisors, whose sum is σ = 6408174663072. Its totient is φ = 664443648000.

The previous prime is 2434410144311. The next prime is 2434410144449.

2434410144342 is a `hidden beast` number, since 2 + 43 + 441 + 0 + 144 + 34 + 2 = 666.

2434410144342 is nontrivially palindromic in base 10.

2434410144342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2434410144342² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2434410144297 and 2434410144306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 83553117 + ... + 83582247.

It is an arithmetic number, because the mean of its divisors is an integer number (22250606469).

Almost surely, 2^{2434410144342} is an apocalyptic number.

2434410144342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2434410144342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204087331536).

2434410144342 is an abundant number, since it is smaller than the sum of its proper divisors (3973764518730).

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

2434410144342 is a wasteful number, since it uses less digits than its factorization.

2434410144342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29276 (or 29262 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 2434410 and 144342, that added together give a palindrome (2578752).

The spelling of 2434410144342 in words is "two trillion, four hundred thirty-four billion, four hundred ten million, one hundred forty-four thousand, three hundred forty-two".