2212729344 has 240 divisors, whose sum is σ = 7358070720. Its totient is φ = 627056640.

The previous prime is 2212729301. The next prime is 2212729349. The reversal of 2212729344 is 4439272122.

It is a happy number.

It is a super-2 number, since 2×2212729344² = 9792342299597340672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2212729299 and 2212729308.

It is not an unprimeable number, because it can be changed into a prime (2212729349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5838147 + ... + 5838525.

It is an arithmetic number, because the mean of its divisors is an integer number (30658628).

Almost surely, 2^2212729344 is an apocalyptic number.

2212729344 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 2212729344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679035360).

2212729344 is an abundant number, since it is smaller than the sum of its proper divisors (5145341376).

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

2212729344 is a wasteful number, since it uses less digits than its factorization.

2212729344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 572 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 2212729344 is about 47039.6571416077. The cubic root of 2212729344 is about 1303.0950600992.

The spelling of 2212729344 in words is "two billion, two hundred twelve million, seven hundred twenty-nine thousand, three hundred forty-four".