2232124344 has 128 divisors (see below), whose sum is σ = 6676992000. Its totient is φ = 688338432.

The previous prime is 2232124339. The next prime is 2232124357. The reversal of 2232124344 is 4434212322.

2232124344 is a `hidden beast` number, since 223 + 2 + 1 + 2 + 434 + 4 = 666.

It is a super-3 number, since 3×2232124344³ (a number of 29 digits) contains 333 as substring.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211497 + ... + 221799.

It is an arithmetic number, because the mean of its divisors is an integer number (52164000).

Almost surely, 2^2232124344 is an apocalyptic number.

2232124344 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 2232124344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338496000).

2232124344 is an abundant number, since it is smaller than the sum of its proper divisors (4444867656).

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

2232124344 is a wasteful number, since it uses less digits than its factorization.

2232124344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10394 (or 10384 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 2232124344 is about 47245.3632010592. The cubic root of 2232124344 is about 1306.8912833468.

Adding to 2232124344 its reverse (4434212322), we get a palindrome (6666336666).

It can be divided in two parts, 22321 and 24344, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 2232124344 in words is "two billion, two hundred thirty-two million, one hundred twenty-four thousand, three hundred forty-four".