2134242231444 has 240 divisors, whose sum is σ = 5719307844096. Its totient is φ = 693746726400.

The previous prime is 2134242231419. The next prime is 2134242231449. The reversal of 2134242231444 is 4441322424312.

2134242231444 is a `hidden beast` number, since 2 + 1 + 3 + 424 + 223 + 1 + 4 + 4 + 4 = 666.

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 junction number, because it is equal to n+sod(n) for n = 2134242231399 and 2134242231408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134242231449) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3382317009 + ... + 3382317639.

Almost surely, 2^{2134242231444} 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 2134242231444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859653922048).

2134242231444 is an abundant number, since it is smaller than the sum of its proper divisors (3585065612652).

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

2134242231444 is a wasteful number, since it uses less digits than its factorization.

2134242231444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1577 counting only the distinct ones).

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

Adding to 2134242231444 its reverse (4441322424312), we get a palindrome (6575564655756).

The spelling of 2134242231444 in words is "two trillion, one hundred thirty-four billion, two hundred forty-two million, two hundred thirty-one thousand, four hundred forty-four".