2003024100 has 144 divisors (see below), whose sum is σ = 7225537536. Its totient is φ = 416208000.

The previous prime is 2003024083. The next prime is 2003024123. The reversal of 2003024100 is 14203002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20256 + ... + 66455.

It is an arithmetic number, because the mean of its divisors is an integer number (50177344).

Almost surely, 2^2003024100 is an apocalyptic number.

2003024100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003024100 is an abundant number, since it is smaller than the sum of its proper divisors (5222513436).

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

2003024100 is a wasteful number, since it uses less digits than its factorization.

2003024100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86746 (or 86739 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2003024100 is about 44755.1572447243. The cubic root of 2003024100 is about 1260.5557513100. Note that the first 3 decimals are identical.

Adding to 2003024100 its reverse (14203002), we get a palindrome (2017227102).

It can be divided in two parts, 200302 and 4100, that added together give a palindrome (204402).

The spelling of 2003024100 in words is "two billion, three million, twenty-four thousand, one hundred".