2121765130384 has 135 divisors (see below), whose sum is σ = 4518917033913. Its totient is φ = 964870387200.

The previous prime is 2121765130379. The next prime is 2121765130417. The reversal of 2121765130384 is 4830315671212.

It is a happy number.

The square root of 2121765130384 is 1456628.

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., 1651893267600 + 469871862784 = 1285260^2 + 685472^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2121765130384.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3070571479 + ... + 3070572169.

Almost surely, 2^{2121765130384} is an apocalyptic number.

2121765130384 is the 1456628-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121765130384

2121765130384 is an abundant number, since it is smaller than the sum of its proper divisors (2397151903529).

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

2121765130384 is an frugal number, since it uses more digits than its factorization.

2121765130384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 2121765130384 in words is "two trillion, one hundred twenty-one billion, seven hundred sixty-five million, one hundred thirty thousand, three hundred eighty-four".