2024212320 has 144 divisors (see below), whose sum is σ = 7439049072. Its totient is φ = 498263040.

The previous prime is 2024212319. The next prime is 2024212331. The reversal of 2024212320 is 232124202.

2024212320 is a `hidden beast` number, since 202 + 421 + 23 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 2024212293 and 2024212302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35346 + ... + 72785.

It is an arithmetic number, because the mean of its divisors is an integer number (51660063).

Almost surely, 2^2024212320 is an apocalyptic number.

2024212320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024212320 is an abundant number, since it is smaller than the sum of its proper divisors (5414836752).

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

2024212320 is a wasteful number, since it uses less digits than its factorization.

2024212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108165 (or 108154 counting only the distinct ones).

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

The square root of 2024212320 is about 44991.2471487511. The cubic root of 2024212320 is about 1264.9849383970.

Adding to 2024212320 its reverse (232124202), we get a palindrome (2256336522).

The spelling of 2024212320 in words is "two billion, twenty-four million, two hundred twelve thousand, three hundred twenty".