2204647466400 has 108 divisors (see below), whose sum is σ = 7774138153782. Its totient is φ = 587905989120.

The previous prime is 2204647466393. The next prime is 2204647466467. The reversal of 2204647466400 is 46647464022.

2204647466400 is a `hidden beast` number, since 2 + 20 + 464 + 74 + 66 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1548800162064 + 655847304336 = 1244508^2 + 809844^2 .

It is a super-2 number, since 2×2204647466400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 153093319 + ... + 153107718.

Almost surely, 2^{2204647466400} is an apocalyptic number.

2204647466400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2204647466400 is an abundant number, since it is smaller than the sum of its proper divisors (5569490687382).

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

2204647466400 is a wasteful number, since it uses less digits than its factorization.

2204647466400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306201063 (or 306201047 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 2204647466400 in words is "two trillion, two hundred four billion, six hundred forty-seven million, four hundred sixty-six thousand, four hundred".