2001334842 has 72 divisors (see below), whose sum is σ = 4712932224. Its totient is φ = 613503072.

The previous prime is 2001334817. The next prime is 2001334849. The reversal of 2001334842 is 2484331002.

It is a super-2 number, since 2×2001334842² = 8010682299606329928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2001334849) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 932823 + ... + 934965.

It is an arithmetic number, because the mean of its divisors is an integer number (65457392).

Almost surely, 2^2001334842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001334842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356466112).

2001334842 is an abundant number, since it is smaller than the sum of its proper divisors (2711597382).

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

2001334842 is a wasteful number, since it uses less digits than its factorization.

2001334842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2001334842 is about 44736.2810479369. The cubic root of 2001334842 is about 1260.2012868145.

Adding to 2001334842 its reverse (2484331002), we get a palindrome (4485665844).

The spelling of 2001334842 in words is "two billion, one million, three hundred thirty-four thousand, eight hundred forty-two".