2224004125440 has 72 divisors (see below), whose sum is σ = 7102913187888. Its totient is φ = 593067765760.

The previous prime is 2224004125367. The next prime is 2224004125517. The reversal of 2224004125440 is 445214004222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2224004125398 and 2224004125407.

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 7 ways as a sum of consecutive naturals, for example, 289580031 + ... + 289587710.

It is an arithmetic number, because the mean of its divisors is an integer number (98651572054).

Almost surely, 2^{2224004125440} is an apocalyptic number.

2224004125440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2224004125440 is an abundant number, since it is smaller than the sum of its proper divisors (4878909062448).

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

2224004125440 is an equidigital number, since it uses as much as digits as its factorization.

2224004125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579167765 (or 579167751 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 2224004125440 its reverse (445214004222), we get a palindrome (2669218129662).

The spelling of 2224004125440 in words is "two trillion, two hundred twenty-four billion, four million, one hundred twenty-five thousand, four hundred forty".