2024024204202 has 512 divisors, whose sum is σ = 5842119499776. Its totient is φ = 453615022080.

The previous prime is 2024024204171. The next prime is 2024024204207.

2024024204202 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2024024204207) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2137300693 + ... + 2137301639.

It is an arithmetic number, because the mean of its divisors is an integer number (11410389648).

Almost surely, 2^{2024024204202} is an apocalyptic number.

2024024204202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2024024204202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921059749888).

2024024204202 is an abundant number, since it is smaller than the sum of its proper divisors (3818095295574).

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

2024024204202 is a wasteful number, since it uses less digits than its factorization.

2024024204202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The spelling of 2024024204202 in words is "two trillion, twenty-four billion, twenty-four million, two hundred four thousand, two hundred two".