2246224604400 has 360 divisors, whose sum is σ = 9377473672320. Its totient is φ = 486400412160.

The previous prime is 2246224604369. The next prime is 2246224604489. The reversal of 2246224604400 is 44064226422.

2246224604400 is a `hidden beast` number, since 2 + 2 + 4 + 6 + 2 + 2 + 4 + 604 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1866882 + ... + 2824481.

Almost surely, 2^{2246224604400} is an apocalyptic number.

2246224604400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2246224604400 is an abundant number, since it is smaller than the sum of its proper divisors (7131249067920).

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

2246224604400 is a wasteful number, since it uses less digits than its factorization.

2246224604400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4691413 (or 4691399 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 2246224604400 in words is "two trillion, two hundred forty-six billion, two hundred twenty-four million, six hundred four thousand, four hundred".