2134244424312 has 288 divisors, whose sum is σ = 7819686332640. Its totient is φ = 511706764800.

The previous prime is 2134244424283. The next prime is 2134244424317.

2134244424312 is a `hidden beast` number, since 21 + 342 + 4 + 44 + 243 + 12 = 666.

2134244424312 is nontrivially palindromic in base 10.

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 not an unprimeable number, because it can be changed into a prime (2134244424317) 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 71 ways as a sum of consecutive naturals, for example, 553239 + ... + 2138822.

It is an arithmetic number, because the mean of its divisors is an integer number (27151688655).

Almost surely, 2^{2134244424312} is an apocalyptic number.

2134244424312 is a gapful number since it is divisible by the number (22) 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 2134244424312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3909843166320).

2134244424312 is an abundant number, since it is smaller than the sum of its proper divisors (5685441908328).

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

2134244424312 is a wasteful number, since it uses less digits than its factorization.

2134244424312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692115 (or 2692097 counting only the distinct ones).

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

The spelling of 2134244424312 in words is "two trillion, one hundred thirty-four billion, two hundred forty-four million, four hundred twenty-four thousand, three hundred twelve".