2304133213140 has 288 divisors, whose sum is σ = 7671265056000. Its totient is φ = 555164375040.

The previous prime is 2304133213121. The next prime is 2304133213153. The reversal of 2304133213140 is 413123314032.

It is a happy number.

2304133213140 is a `hidden beast` number, since 2 + 30 + 413 + 3 + 213 + 1 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 436965544 + ... + 436970816.

It is an arithmetic number, because the mean of its divisors is an integer number (26636337000).

Almost surely, 2^{2304133213140} is an apocalyptic number.

2304133213140 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 2304133213140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3835632528000).

2304133213140 is an abundant number, since it is smaller than the sum of its proper divisors (5367131842860).

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

2304133213140 is a wasteful number, since it uses less digits than its factorization.

2304133213140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6607 (or 6602 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 2304133213140 its reverse (413123314032), we get a palindrome (2717256527172).

The spelling of 2304133213140 in words is "two trillion, three hundred four billion, one hundred thirty-three million, two hundred thirteen thousand, one hundred forty".