2220122241504 has 72 divisors (see below), whose sum is σ = 6318319028112. Its totient is φ = 739472670720.

The previous prime is 2220122241479. The next prime is 2220122241581. The reversal of 2220122241504 is 4051422210222.

2220122241504 is a `hidden beast` number, since 2 + 2 + 20 + 1 + 222 + 415 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2582817 + ... + 3333344.

It is an arithmetic number, because the mean of its divisors is an integer number (87754430946).

Almost surely, 2^{2220122241504} is an apocalyptic number.

2220122241504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2220122241504 is an abundant number, since it is smaller than the sum of its proper divisors (4098196786608).

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

2220122241504 is a wasteful number, since it uses less digits than its factorization.

2220122241504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5917480 (or 5917469 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 2220122241504 its reverse (4051422210222), we get a palindrome (6271544451726).

The spelling of 2220122241504 in words is "two trillion, two hundred twenty billion, one hundred twenty-two million, two hundred forty-one thousand, five hundred four".