2024100000 has 432 divisors, whose sum is σ = 7792798104. Its totient is φ = 495360000.

The previous prime is 2024099989. The next prime is 2024100007. The reversal of 2024100000 is 14202.

It can be written as a sum of positive squares in 12 ways, for example, as 845413776 + 1178686224 = 29076^2 + 34332^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024100007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11699914 + ... + 11700086.

Almost surely, 2^2024100000 is an apocalyptic number.

2024100000 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 2024100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3896399052).

2024100000 is an abundant number, since it is smaller than the sum of its proper divisors (5768698104).

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

2024100000 is a wasteful number, since it uses less digits than its factorization.

2024100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2024100000 is about 44989.9988886419. The cubic root of 2024100000 is about 1264.9615406973.

Adding to 2024100000 its reverse (14202), we get a palindrome (2024114202).

The spelling of 2024100000 in words is "two billion, twenty-four million, one hundred thousand".