2434134763104 has 144 divisors (see below), whose sum is σ = 7040811360240. Its totient is φ = 735775744000.

The previous prime is 2434134763103. The next prime is 2434134763157. The reversal of 2434134763104 is 4013674314342.

It is a super-3 number, since 3×2434134763104³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434134763103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4396732 + ... + 4919300.

It is an arithmetic number, because the mean of its divisors is an integer number (48894523335).

Almost surely, 2^{2434134763104} is an apocalyptic number.

2434134763104 is a gapful number since it is divisible by the number (24) 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 2434134763104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520405680120).

2434134763104 is an abundant number, since it is smaller than the sum of its proper divisors (4606676597136).

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

2434134763104 is a wasteful number, since it uses less digits than its factorization.

2434134763104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523005 (or 522986 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 42.

The spelling of 2434134763104 in words is "two trillion, four hundred thirty-four billion, one hundred thirty-four million, seven hundred sixty-three thousand, one hundred four".