2024102000 has 160 divisors (see below), whose sum is σ = 5094745344. Its totient is φ = 777216000.

The previous prime is 2024101969. The next prime is 2024102011. The reversal of 2024102000 is 2014202.

It is a congruent number.

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, 5733824 + ... + 5734176.

Almost surely, 2^2024102000 is an apocalyptic number.

2024102000 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 2024102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547372672).

2024102000 is an abundant number, since it is smaller than the sum of its proper divisors (3070643344).

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

2024102000 is a wasteful number, since it uses less digits than its factorization.

2024102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2024102000 is about 44990.0211157986. The cubic root of 2024102000 is about 1264.9619573305.

Adding to 2024102000 its reverse (2014202), we get a palindrome (2026116202).

The spelling of 2024102000 in words is "two billion, twenty-four million, one hundred two thousand".