2213251264224 has 288 divisors, whose sum is σ = 8450596836864. Its totient is φ = 530649584640.

The previous prime is 2213251264193. The next prime is 2213251264247. The reversal of 2213251264224 is 4224621523122.

2213251264224 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 2 + 5 + 1 + 2 + 642 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3550324 + ... + 4126899.

It is an arithmetic number, because the mean of its divisors is an integer number (29342350128).

Almost surely, 2^{2213251264224} is an apocalyptic number.

2213251264224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2213251264224 is an abundant number, since it is smaller than the sum of its proper divisors (6237345572640).

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

2213251264224 is a wasteful number, since it uses less digits than its factorization.

2213251264224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7677270 (or 7677259 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 2213251264224 its reverse (4224621523122), we get a palindrome (6437872787346).

The spelling of 2213251264224 in words is "two trillion, two hundred thirteen billion, two hundred fifty-one million, two hundred sixty-four thousand, two hundred twenty-four".