2030574077968 has 120 divisors (see below), whose sum is σ = 4191142207320. Its totient is φ = 951875850240.

The previous prime is 2030574077953. The next prime is 2030574077969. The reversal of 2030574077968 is 8697704750302.

It can be written as a sum of positive squares in 4 ways, for example, as 1263807652864 + 766766425104 = 1124192^2 + 875652^2 .

It is a super-2 number, since 2×2030574077968² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is not an unprimeable number, because it can be changed into a prime (2030574077969) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 148416088 + ... + 148429768.

It is an arithmetic number, because the mean of its divisors is an integer number (34926185061).

Almost surely, 2^{2030574077968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2030574077968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095571103660).

2030574077968 is an abundant number, since it is smaller than the sum of its proper divisors (2160568129352).

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

2030574077968 is a wasteful number, since it uses less digits than its factorization.

2030574077968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13977 (or 13928 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 58.

The spelling of 2030574077968 in words is "two trillion, thirty billion, five hundred seventy-four million, seventy-seven thousand, nine hundred sixty-eight".