2212225344 has 252 divisors, whose sum is σ = 7652028384. Its totient is φ = 631846656.

The previous prime is 2212225291. The next prime is 2212225369. The reversal of 2212225344 is 4435222122.

2212225344 is a `hidden beast` number, since 2 + 2 + 122 + 2 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 760597 + ... + 763499.

It is an arithmetic number, because the mean of its divisors is an integer number (30365192).

Almost surely, 2^2212225344 is an apocalyptic number.

2212225344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212225344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3826014192).

2212225344 is an abundant number, since it is smaller than the sum of its proper divisors (5439803040).

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

2212225344 is an equidigital number, since it uses as much as digits as its factorization.

2212225344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944 (or 2915 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 2212225344 is about 47034.2996546138. The cubic root of 2212225344 is about 1302.9961159630.

Adding to 2212225344 its reverse (4435222122), we get a palindrome (6647447466).

The spelling of 2212225344 in words is "two billion, two hundred twelve million, two hundred twenty-five thousand, three hundred forty-four".