2304006002120 has 16 divisors (see below), whose sum is σ = 5184013504860. Its totient is φ = 921602400832.

The previous prime is 2304006002117. The next prime is 2304006002141. The reversal of 2304006002120 is 212006004032.

It can be written as a sum of positive squares in 2 ways, for example, as 2093965278916 + 210040723204 = 1447054^2 + 458302^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2304006002092 and 2304006002101.

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 3 ways as a sum of consecutive naturals, for example, 28800074987 + ... + 28800075066.

Almost surely, 2^{2304006002120} is an apocalyptic number.

2304006002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2304006002120 is an abundant number, since it is smaller than the sum of its proper divisors (2880007502740).

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

2304006002120 is a wasteful number, since it uses less digits than its factorization.

2304006002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57600150064 (or 57600150060 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The spelling of 2304006002120 in words is "two trillion, three hundred four billion, six million, two thousand, one hundred twenty".