2126382236944 has 135 divisors (see below), whose sum is σ = 5059854970821. Its totient is φ = 863028190080.

The previous prime is 2126382236939. The next prime is 2126382236947. The reversal of 2126382236944 is 4496322836212.

The square root of 2126382236944 is 1458212.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 629185276944 + 1497196960000 = 793212^2 + 1223600^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2126382236891 and 2126382236900.

It is not an unprimeable number, because it can be changed into a prime (2126382236947) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 775767414 + ... + 775770154.

Almost surely, 2^{2126382236944} is an apocalyptic number.

2126382236944 is the 1458212-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2126382236944

2126382236944 is an abundant number, since it is smaller than the sum of its proper divisors (2933472733877).

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

2126382236944 is an frugal number, since it uses more digits than its factorization.

2126382236944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5542 (or 2769 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 52.

The spelling of 2126382236944 in words is "two trillion, one hundred twenty-six billion, three hundred eighty-two million, two hundred thirty-six thousand, nine hundred forty-four".