2027126707984 has 45 divisors (see below), whose sum is σ = 4568881807317. Its totient is φ = 868751503872.

The previous prime is 2027126707943. The next prime is 2027126707987. The reversal of 2027126707984 is 4897076217202.

The square root of 2027126707984 is 1423772.

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., 1356824269584 + 670302438400 = 1164828^2 + 818720^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2027126707987) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 39840192 + ... + 39891040.

Almost surely, 2^{2027126707984} is an apocalyptic number.

2027126707984 is the 1423772-nd square number.

It is an amenable number.

2027126707984 is an abundant number, since it is smaller than the sum of its proper divisors (2541755099333).

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

2027126707984 is an frugal number, since it uses more digits than its factorization.

2027126707984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101720 (or 50858 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 55.

The spelling of 2027126707984 in words is "two trillion, twenty-seven billion, one hundred twenty-six million, seven hundred seven thousand, nine hundred eighty-four".