2743742121120 has 5184 divisors, whose sum is σ = 14467039292160. Its totient is φ = 478235197440.

The previous prime is 2743742121101. The next prime is 2743742121143. The reversal of 2743742121120 is 211212473472.

2743742121120 is a `hidden beast` number, since 2 + 7 + 437 + 4 + 2 + 1 + 211 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 94611797266 + ... + 94611797294.

It is an arithmetic number, because the mean of its divisors is an integer number (2790709740).

Almost surely, 2^{2743742121120} is an apocalyptic number.

2743742121120 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 2743742121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7233519646080).

2743742121120 is an abundant number, since it is smaller than the sum of its proper divisors (11723297171040).

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

2743742121120 is a wasteful number, since it uses less digits than its factorization.

2743742121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Adding to 2743742121120 its reverse (211212473472), we get a palindrome (2954954594592).

The spelling of 2743742121120 in words is "two trillion, seven hundred forty-three billion, seven hundred forty-two million, one hundred twenty-one thousand, one hundred twenty".