2003020624 has 80 divisors (see below), whose sum is σ = 4299546240. Its totient is φ = 896417280.

The previous prime is 2003020511. The next prime is 2003020637. The reversal of 2003020624 is 4260203002.

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 15 ways as a sum of consecutive naturals, for example, 5045194 + ... + 5045590.

It is an arithmetic number, because the mean of its divisors is an integer number (53744328).

Almost surely, 2^2003020624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003020624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149773120).

2003020624 is an abundant number, since it is smaller than the sum of its proper divisors (2296525616).

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

2003020624 is a wasteful number, since it uses less digits than its factorization.

2003020624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2003020624 is about 44755.1184111940. The cubic root of 2003020624 is about 1260.5550221302. Note that the first 3 decimals are identical.

Adding to 2003020624 its reverse (4260203002), we get a palindrome (6263223626).

The spelling of 2003020624 in words is "two billion, three million, twenty thousand, six hundred twenty-four".