2403284364009 has 81 divisors (see below), whose sum is σ = 3651593209797. Its totient is φ = 1523067763392.

The previous prime is 2403284363999. The next prime is 2403284364011. The reversal of 2403284364009 is 9004634823042.

The square root of 2403284364009 is 1550253.

It is a perfect power (a square), and thus also a powerful number.

2403284364009 is a `hidden beast` number, since 2 + 4 + 0 + 3 + 284 + 364 + 0 + 0 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 561487955625 + 1841796408384 = 749325^2 + 1357128^2 .

It is not a de Polignac number, because 2403284364009 - 2³⁹ = 1853528550121 is a prime.

It is a super-2 number, since 2×2403284364009² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2403284364409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13891817047 + ... + 13891817219.

Almost surely, 2^{2403284364009} is an apocalyptic number.

2403284364009 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2403284364009 is the 1550253-rd square number.

2403284364009 is the 775127-th centered octagonal number.

It is an amenable number.

2403284364009 is a deficient number, since it is larger than the sum of its proper divisors (1248308845788).

2403284364009 is an equidigital number, since it uses as much as digits as its factorization.

2403284364009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 2403284364009 in words is "two trillion, four hundred three billion, two hundred eighty-four million, three hundred sixty-four thousand, nine".