2001057347744 has 288 divisors, whose sum is σ = 5362667251200. Its totient is φ = 725765806080.

The previous prime is 2001057347743. The next prime is 2001057347749. The reversal of 2001057347744 is 4477437501002.

It is a junction number, because it is equal to n+sod(n) for n = 2001057347695 and 2001057347704.

It is not an unprimeable number, because it can be changed into a prime (2001057347743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11922842 + ... + 12089510.

It is an arithmetic number, because the mean of its divisors is an integer number (18620372400).

Almost surely, 2^{2001057347744} 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 2001057347744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681333625600).

2001057347744 is an abundant number, since it is smaller than the sum of its proper divisors (3361609903456).

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

2001057347744 is a wasteful number, since it uses less digits than its factorization.

2001057347744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166756 (or 166741 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 44.

The spelling of 2001057347744 in words is "two trillion, one billion, fifty-seven million, three hundred forty-seven thousand, seven hundred forty-four".