2001014334 has 64 divisors (see below), whose sum is σ = 4867188480. Its totient is φ = 604337760.

The previous prime is 2001014299. The next prime is 2001014347. The reversal of 2001014334 is 4334101002.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 176872 + ... + 187844.

It is an arithmetic number, because the mean of its divisors is an integer number (76049820).

Almost surely, 2^2001014334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001014334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433594240).

2001014334 is an abundant number, since it is smaller than the sum of its proper divisors (2866174146).

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

2001014334 is a wasteful number, since it uses less digits than its factorization.

2001014334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11302 (or 11296 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2001014334 is about 44732.6987113454. The cubic root of 2001014334 is about 1260.1340106897.

Adding to 2001014334 its reverse (4334101002), we get a palindrome (6335115336).

The spelling of 2001014334 in words is "two billion, one million, fourteen thousand, three hundred thirty-four".