2001342020 has 96 divisors (see below), whose sum is σ = 4485583872. Its totient is φ = 748800000.

The previous prime is 2001341971. The next prime is 2001342047. The reversal of 2001342020 is 202431002.

It is a junction number, because it is equal to n+sod(n) for n = 2001341986 and 2001342004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3329720 + ... + 3330320.

It is an arithmetic number, because the mean of its divisors is an integer number (46724832).

Almost surely, 2^2001342020 is an apocalyptic number.

2001342020 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 2001342020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242791936).

2001342020 is an abundant number, since it is smaller than the sum of its proper divisors (2484241852).

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

2001342020 is a wasteful number, since it uses less digits than its factorization.

2001342020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2001342020 is about 44736.3612735770. The cubic root of 2001342020 is about 1260.2027934279.

Adding to 2001342020 its reverse (202431002), we get a palindrome (2203773022).

The spelling of 2001342020 in words is "two billion, one million, three hundred forty-two thousand, twenty".