2734613243124 has 192 divisors, whose sum is σ = 7883263180800. Its totient is φ = 720396484992.

The previous prime is 2734613243123. The next prime is 2734613243161. The reversal of 2734613243124 is 4213423164372.

It is a super-2 number, since 2×2734613243124² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2734613243123) 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 63 ways as a sum of consecutive naturals, for example, 13325317 + ... + 13528979.

It is an arithmetic number, because the mean of its divisors is an integer number (41058662400).

Almost surely, 2^{2734613243124} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2734613243124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3941631590400).

2734613243124 is an abundant number, since it is smaller than the sum of its proper divisors (5148649937676).

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

2734613243124 is a wasteful number, since it uses less digits than its factorization.

2734613243124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203922 (or 203920 counting only the distinct ones).

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

The spelling of 2734613243124 in words is "two trillion, seven hundred thirty-four billion, six hundred thirteen million, two hundred forty-three thousand, one hundred twenty-four".