2003000034 has 128 divisors (see below), whose sum is σ = 4927537152. Its totient is φ = 530449920.

The previous prime is 2003000033. The next prime is 2003000107. The reversal of 2003000034 is 4300003002.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2002999983 and 2003000019.

It is not an unprimeable number, because it can be changed into a prime (2003000033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7127974 + ... + 7128254.

It is an arithmetic number, because the mean of its divisors is an integer number (38496384).

Almost surely, 2^2003000034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003000034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463768576).

2003000034 is an abundant number, since it is smaller than the sum of its proper divisors (2924537118).

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

2003000034 is a wasteful number, since it uses less digits than its factorization.

2003000034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520.

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 2003000034 is about 44754.8883810473. Note that the first 3 decimals coincide. The cubic root of 2003000034 is about 1260.5507028342.

Adding to 2003000034 its reverse (4300003002), we get a palindrome (6303003036).

The spelling of 2003000034 in words is "two billion, three million, thirty-four", and thus it is an aban number.