2001034420 has 96 divisors (see below), whose sum is σ = 5267275776. Its totient is φ = 620342400.

The previous prime is 2001034403. The next prime is 2001034489. The reversal of 2001034420 is 244301002.

It is a junction number, because it is equal to n+sod(n) for n = 2001034394 and 2001034403.

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, 290739 + ... + 297541.

It is an arithmetic number, because the mean of its divisors is an integer number (54867456).

Almost surely, 2^2001034420 is an apocalyptic number.

2001034420 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 2001034420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633637888).

2001034420 is an abundant number, since it is smaller than the sum of its proper divisors (3266241356).

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

2001034420 is a wasteful number, since it uses less digits than its factorization.

2001034420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7021 (or 7019 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2001034420 is about 44732.9232221638. The cubic root of 2001034420 is about 1260.1382270458.

Adding to 2001034420 its reverse (244301002), we get a palindrome (2245335422).

The spelling of 2001034420 in words is "two billion, one million, thirty-four thousand, four hundred twenty".