2125892305936 has 225 divisors, whose sum is σ = 4948062711549. Its totient is φ = 884764427904.

The previous prime is 2125892305909. The next prime is 2125892305951. The reversal of 2125892305936 is 6395032985212.

The square root of 2125892305936 is 1458044.

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., 1933823984400 + 192068321536 = 1390620^2 + 438256^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12288394746 + ... + 12288394918.

Almost surely, 2^{2125892305936} is an apocalyptic number.

2125892305936 is the 1458044-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2125892305936

2125892305936 is an abundant number, since it is smaller than the sum of its proper divisors (2822170405613).

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

2125892305936 is an frugal number, since it uses more digits than its factorization.

2125892305936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 55.

The spelling of 2125892305936 in words is "two trillion, one hundred twenty-five billion, eight hundred ninety-two million, three hundred five thousand, nine hundred thirty-six".