2074945178089 has 45 divisors (see below), whose sum is σ = 2529929146647. Its totient is φ = 1696824031056.

The previous prime is 2074945178039. The next prime is 2074945178093. The reversal of 2074945178089 is 9808715494702.

The square root of 2074945178089 is 1440467.

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., 489813817689 + 1585131360400 = 699867^2 + 1259020^2 .

It is not a de Polignac number, because 2074945178089 - 2¹⁵ = 2074945145321 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2074945178089.

It is not an unprimeable number, because it can be changed into a prime (2074945178039) 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 44 ways as a sum of consecutive naturals, for example, 5334049107 + ... + 5334049495.

Almost surely, 2^{2074945178089} is an apocalyptic number.

2074945178089 is the 1440467-th square number.

2074945178089 is the 720234-th centered octagonal number.

It is an amenable number.

2074945178089 is a deficient number, since it is larger than the sum of its proper divisors (454983968558).

2074945178089 is an frugal number, since it uses more digits than its factorization.

2074945178089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 64.

Multiplying 2074945178089 by its sum of digits (64), we get a square (132796491397696 = 11523736²).

The spelling of 2074945178089 in words is "two trillion, seventy-four billion, nine hundred forty-five million, one hundred seventy-eight thousand, eighty-nine".