2024210034 has 128 divisors (see below), whose sum is σ = 5801932800. Its totient is φ = 507608640.

The previous prime is 2024210021. The next prime is 2024210039. The reversal of 2024210034 is 4300124202.

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 = 2024209989 and 2024210016.

It is not an unprimeable number, because it can be changed into a prime (2024210039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112189 + ... + 128975.

It is an arithmetic number, because the mean of its divisors is an integer number (45327600).

Almost surely, 2^2024210034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2024210034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900966400).

2024210034 is an abundant number, since it is smaller than the sum of its proper divisors (3777722766).

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

2024210034 is a wasteful number, since it uses less digits than its factorization.

2024210034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16845 (or 16839 counting only the distinct ones).

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

The square root of 2024210034 is about 44991.2217438024. The cubic root of 2024210034 is about 1264.9844622025.

Adding to 2024210034 its reverse (4300124202), we get a palindrome (6324334236).

It can be divided in two parts, 20242 and 10034, that added together give a square (30276 = 174²).

The spelling of 2024210034 in words is "two billion, twenty-four million, two hundred ten thousand, thirty-four".