2024312004 has 144 divisors (see below), whose sum is σ = 6102358080. Its totient is φ = 557694720.

The previous prime is 2024311963. The next prime is 2024312039. The reversal of 2024312004 is 4002134202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341982 + ... + 347850.

Almost surely, 2^2024312004 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 2024312004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3051179040).

2024312004 is an abundant number, since it is smaller than the sum of its proper divisors (4078046076).

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

2024312004 is a wasteful number, since it uses less digits than its factorization.

2024312004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5970 (or 5965 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2024312004 is about 44992.3549505913. The cubic root of 2024312004 is about 1265.0057031306.

Adding to 2024312004 its reverse (4002134202), we get a palindrome (6026446206).

It can be divided in two parts, 2024 and 312004, that added together give a triangular number (314028 = T₇₉₂).

The spelling of 2024312004 in words is "two billion, twenty-four million, three hundred twelve thousand, four".