2023300240 has 80 divisors (see below), whose sum is σ = 5105048256. Its totient is φ = 741312000.

The previous prime is 2023300231. The next prime is 2023300247. The reversal of 2023300240 is 420033202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2023300240² = 8187487722368115200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2023300247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128815 + ... + 143665.

Almost surely, 2^2023300240 is an apocalyptic number.

2023300240 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 2023300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552524128).

2023300240 is an abundant number, since it is smaller than the sum of its proper divisors (3081748016).

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

2023300240 is a wasteful number, since it uses less digits than its factorization.

2023300240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15008 (or 15002 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2023300240 is about 44981.1098128981. The cubic root of 2023300240 is about 1264.7949153800.

Adding to 2023300240 its reverse (420033202), we get a palindrome (2443333442).

The spelling of 2023300240 in words is "two billion, twenty-three million, three hundred thousand, two hundred forty".