2027115317824 has 63 divisors (see below), whose sum is σ = 4157226793353. Its totient is φ = 980691398400.

The previous prime is 2027115317819. The next prime is 2027115317867. The reversal of 2027115317824 is 4287135117202.

The square root of 2027115317824 is 1423768.

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., 1013307983424 + 1013807334400 = 1006632^2 + 1006880^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 353091594 + ... + 353097334.

Almost surely, 2^{2027115317824} is an apocalyptic number.

2027115317824 is the 1423768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2027115317824

2027115317824 is an abundant number, since it is smaller than the sum of its proper divisors (2130111475529).

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

2027115317824 is an frugal number, since it uses more digits than its factorization.

2027115317824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11556 (or 5774 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 43.

The spelling of 2027115317824 in words is "two trillion, twenty-seven billion, one hundred fifteen million, three hundred seventeen thousand, eight hundred twenty-four".