2001010563018 has 256 divisors, whose sum is σ = 4884909120000. Its totient is φ = 604743874560.

The previous prime is 2001010563011. The next prime is 2001010563067. The reversal of 2001010563018 is 8103650101002.

2001010563018 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 0 + 10 + 5 + 630 + 18 = 666.

It is a super-2 number, since 2×2001010563018² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2001010562982 and 2001010563000.

It is not an unprimeable number, because it can be changed into a prime (2001010563011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3064334380 + ... + 3064335032.

It is an arithmetic number, because the mean of its divisors is an integer number (19081676250).

Almost surely, 2^{2001010563018} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001010563018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442454560000).

2001010563018 is an abundant number, since it is smaller than the sum of its proper divisors (2883898556982).

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

2001010563018 is a wasteful number, since it uses less digits than its factorization.

2001010563018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 2001010563018 in words is "two trillion, one billion, ten million, five hundred sixty-three thousand, eighteen".