2240224420400 has 30 divisors (see below), whose sum is σ = 5382139170972. Its totient is φ = 896089768000.

The previous prime is 2240224420363. The next prime is 2240224420459. The reversal of 2240224420400 is 40244220422.

It is a self number, because there is not a number n which added to its sum of digits gives 2240224420400.

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 5 ways as a sum of consecutive naturals, for example, 2800280126 + ... + 2800280925.

Almost surely, 2^{2240224420400} is an apocalyptic number.

2240224420400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240224420400 is an abundant number, since it is smaller than the sum of its proper divisors (3141914750572).

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

2240224420400 is a wasteful number, since it uses less digits than its factorization.

2240224420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5600561069 (or 5600561058 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 2240224420400 its reverse (40244220422), we get a palindrome (2280468640822).

The spelling of 2240224420400 in words is "two trillion, two hundred forty billion, two hundred twenty-four million, four hundred twenty thousand, four hundred".