23301540240 has 320 divisors, whose sum is σ = 80630553600. Its totient is φ = 5519001600.

The previous prime is 23301540187. The next prime is 23301540247. The reversal of 23301540240 is 4204510332.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23301540240.

It is not an unprimeable number, because it can be changed into a prime (23301540247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32865006 + ... + 32865714.

It is an arithmetic number, because the mean of its divisors is an integer number (251970480).

Almost surely, 2^23301540240 is an apocalyptic number.

23301540240 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 23301540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40315276800).

23301540240 is an abundant number, since it is smaller than the sum of its proper divisors (57329013360).

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

23301540240 is a wasteful number, since it uses less digits than its factorization.

23301540240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The spelling of 23301540240 in words is "twenty-three billion, three hundred one million, five hundred forty thousand, two hundred forty".