2300240000 has 80 divisors (see below), whose sum is σ = 5726502870. Its totient is φ = 920064000.

The previous prime is 2300239993. The next prime is 2300240011. The reversal of 2300240000 is 420032.

It can be written as a sum of positive squares in 5 ways, for example, as 293916736 + 2006323264 = 17144^2 + 44792^2 .

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

It is a super-2 number, since 2×2300240000² = 10582208115200000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 65624 + ... + 94376.

Almost surely, 2^2300240000 is an apocalyptic number.

2300240000 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 2300240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863251435).

2300240000 is an abundant number, since it is smaller than the sum of its proper divisors (3426262870).

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

2300240000 is an frugal number, since it uses more digits than its factorization.

2300240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28787 (or 28760 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 2300240000 is about 47960.8173408252. The cubic root of 2300240000 is about 1320.0520334554.

Adding to 2300240000 its reverse (420032), we get a palindrome (2300660032).

The spelling of 2300240000 in words is "two billion, three hundred million, two hundred forty thousand".