2030279634432 has 960 divisors, whose sum is σ = 7344009953280. Its totient is φ = 547408502784.

The previous prime is 2030279634421. The next prime is 2030279634499. The reversal of 2030279634432 is 2344369720302.

2030279634432 is a `hidden beast` number, since 2 + 0 + 3 + 0 + 2 + 7 + 9 + 634 + 4 + 3 + 2 = 666.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1582446463 + ... + 1582447745.

It is an arithmetic number, because the mean of its divisors is an integer number (7650010368).

Almost surely, 2^{2030279634432} 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 2030279634432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672004976640).

2030279634432 is an abundant number, since it is smaller than the sum of its proper divisors (5313730318848).

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

2030279634432 is an equidigital number, since it uses as much as digits as its factorization.

2030279634432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 2030279634432 in words is "two trillion, thirty billion, two hundred seventy-nine million, six hundred thirty-four thousand, four hundred thirty-two".