2300140800 has 756 divisors, whose sum is σ = 9349675020. Its totient is φ = 557383680.

The previous prime is 2300140793. The next prime is 2300140811. The reversal of 2300140800 is 80410032.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 746496 + 2299394304 = 864^2 + 47952^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 79315186 + ... + 79315214.

It is an arithmetic number, because the mean of its divisors is an integer number (12367295).

Almost surely, 2^2300140800 is an apocalyptic number.

2300140800 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 2300140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4674837510).

2300140800 is an abundant number, since it is smaller than the sum of its proper divisors (7049534220).

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

2300140800 is an equidigital number, since it uses as much as digits as its factorization.

2300140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2300140800 is about 47959.7831521370. The cubic root of 2300140800 is about 1320.0330570234.

Adding to 2300140800 its reverse (80410032), we get a palindrome (2380550832).

The spelling of 2300140800 in words is "two billion, three hundred million, one hundred forty thousand, eight hundred".