2403243030800 has 120 divisors (see below), whose sum is σ = 5829464632200. Its totient is φ = 952036208640.

The previous prime is 2403243030791. The next prime is 2403243030809. The reversal of 2403243030800 is 80303423042.

It is an interprime number because it is at equal distance from previous prime (2403243030791) and next prime (2403243030809).

It can be written as a sum of positive squares in 12 ways, for example, as 478996873216 + 1924246157584 = 692096^2 + 1387172^2 .

It is a super-3 number, since 3×2403243030800³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2403243030809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103625606 + ... + 103648794.

It is an arithmetic number, because the mean of its divisors is an integer number (48578871935).

Almost surely, 2^{2403243030800} is an apocalyptic number.

2403243030800 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 2403243030800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914732316100).

2403243030800 is an abundant number, since it is smaller than the sum of its proper divisors (3426221601400).

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

2403243030800 is a wasteful number, since it uses less digits than its factorization.

2403243030800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25693 (or 25682 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 2403243030800 its reverse (80303423042), we get a palindrome (2483546453842).

The spelling of 2403243030800 in words is "two trillion, four hundred three billion, two hundred forty-three million, thirty thousand, eight hundred".