2125504724992 has 180 divisors, whose sum is σ = 4702903990540. Its totient is φ = 959844188160.

The previous prime is 2125504724983. The next prime is 2125504725017. The reversal of 2125504724992 is 2994274055212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 881976426496 + 1243528298496 = 939136^2 + 1115136^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 311243434 + ... + 311250262.

Almost surely, 2^{2125504724992} is an apocalyptic number.

2125504724992 is a gapful number since it is divisible by the number (22) 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 2125504724992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351451995270).

2125504724992 is an abundant number, since it is smaller than the sum of its proper divisors (2577399265548).

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

2125504724992 is an equidigital number, since it uses as much as digits as its factorization.

2125504724992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7036 (or 6999 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 2125504724992 in words is "two trillion, one hundred twenty-five billion, five hundred four million, seven hundred twenty-four thousand, nine hundred ninety-two".