2412330400 has 72 divisors (see below), whose sum is σ = 5985765324. Its totient is φ = 949094400.

The previous prime is 2412330331. The next prime is 2412330419. The reversal of 2412330400 is 40332142.

2412330400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 415670544 + 1996659856 = 20388^2 + 44684^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24084 + ... + 73516.

Almost surely, 2^2412330400 is an apocalyptic number.

2412330400 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 2412330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992882662).

2412330400 is an abundant number, since it is smaller than the sum of its proper divisors (3573434924).

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

2412330400 is a wasteful number, since it uses less digits than its factorization.

2412330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49514 (or 49501 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2412330400 is about 49115.4802480847. The cubic root of 2412330400 is about 1341.1548668811.

Adding to 2412330400 its reverse (40332142), we get a palindrome (2452662542).

The spelling of 2412330400 in words is "two billion, four hundred twelve million, three hundred thirty thousand, four hundred".