2059091748000 has 576 divisors, whose sum is σ = 8842969594368. Its totient is φ = 442963353600.

The previous prime is 2059091747987. The next prime is 2059091748001. The reversal of 2059091748000 is 8471909502.

2059091748000 is a `hidden beast` number, since 2 + 0 + 590 + 9 + 17 + 48 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2059091748001) 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 95 ways as a sum of consecutive naturals, for example, 4043677 + ... + 4524323.

It is an arithmetic number, because the mean of its divisors is an integer number (15352377768).

Almost surely, 2^{2059091748000} is an apocalyptic number.

2059091748000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2059091748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4421484797184).

2059091748000 is an abundant number, since it is smaller than the sum of its proper divisors (6783877846368).

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

2059091748000 is a wasteful number, since it uses less digits than its factorization.

2059091748000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480702 (or 480681 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 2059091748000 in words is "two trillion, fifty-nine billion, ninety-one million, seven hundred forty-eight thousand".