2129243111424 has 768 divisors, whose sum is σ = 7479892274400. Its totient is φ = 574724505600.

The previous prime is 2129243111407. The next prime is 2129243111431. The reversal of 2129243111424 is 4241113429212.

2129243111424 is a `hidden beast` number, since 2 + 1 + 2 + 92 + 431 + 114 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1222999194 + ... + 1223000934.

Almost surely, 2^{2129243111424} is an apocalyptic number.

2129243111424 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 2129243111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739946137200).

2129243111424 is an abundant number, since it is smaller than the sum of its proper divisors (5350649162976).

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

2129243111424 is a wasteful number, since it uses less digits than its factorization.

2129243111424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1799 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The spelling of 2129243111424 in words is "two trillion, one hundred twenty-nine billion, two hundred forty-three million, one hundred eleven thousand, four hundred twenty-four".