2142073189344 has 768 divisors, whose sum is σ = 7077030912000. Its totient is φ = 559218401280.

The previous prime is 2142073189231. The next prime is 2142073189351. The reversal of 2142073189344 is 4439813702412.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2142073189293 and 2142073189302.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 896638902 + ... + 896641290.

It is an arithmetic number, because the mean of its divisors is an integer number (9214884000).

Almost surely, 2^{2142073189344} is an apocalyptic number.

2142073189344 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 2142073189344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538515456000).

2142073189344 is an abundant number, since it is smaller than the sum of its proper divisors (4934957722656).

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

2142073189344 is a wasteful number, since it uses less digits than its factorization.

2142073189344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2551 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 2142073189344 in words is "two trillion, one hundred forty-two billion, seventy-three million, one hundred eighty-nine thousand, three hundred forty-four".