2024002120 has 128 divisors (see below), whose sum is σ = 5415091200. Its totient is φ = 666372096.

The previous prime is 2024002111. The next prime is 2024002153. The reversal of 2024002120 is 212004202.

It is a self number, because there is not a number n which added to its sum of digits gives 2024002120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 817204 + ... + 819676.

It is an arithmetic number, because the mean of its divisors is an integer number (42305400).

Almost surely, 2^2024002120 is an apocalyptic number.

2024002120 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 2024002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707545600).

2024002120 is an abundant number, since it is smaller than the sum of its proper divisors (3391089080).

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

2024002120 is a wasteful number, since it uses less digits than its factorization.

2024002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2024002120 is about 44988.9110781757. The cubic root of 2024002120 is about 1264.9411503293.

Adding to 2024002120 its reverse (212004202), we get a palindrome (2236006322).

The spelling of 2024002120 in words is "two billion, twenty-four million, two thousand, one hundred twenty".