2024020000 has 120 divisors (see below), whose sum is σ = 5273183916. Its totient is φ = 761856000.

The previous prime is 2024019967. The next prime is 2024020001. The reversal of 2024020000 is 204202.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 436475664 + 1587544336 = 20892^2 + 39844^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024020001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 337024 + ... + 342976.

Almost surely, 2^2024020000 is an apocalyptic number.

2024020000 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 2024020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636591958).

2024020000 is an abundant number, since it is smaller than the sum of its proper divisors (3249163916).

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

2024020000 is an equidigital number, since it uses as much as digits as its factorization.

2024020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6000 (or 5977 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 2024020000 is about 44989.1097933711. The cubic root of 2024020000 is about 1264.9448751411.

Adding to 2024020000 its reverse (204202), we get a palindrome (2024224202).

The spelling of 2024020000 in words is "two billion, twenty-four million, twenty thousand".