2353124224 has 128 divisors (see below), whose sum is σ = 5563300320. Its totient is φ = 979107840.

The previous prime is 2353124201. The next prime is 2353124233. The reversal of 2353124224 is 4224213532.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2353124224² = 11074387227151204352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2353124192 and 2353124201.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 884304 + ... + 886960.

Almost surely, 2^2353124224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2353124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781650160).

2353124224 is an abundant number, since it is smaller than the sum of its proper divisors (3210176096).

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

2353124224 is a wasteful number, since it uses less digits than its factorization.

2353124224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736 (or 2724 counting only the distinct ones).

The product of its digits is 11520, while the sum is 28.

The square root of 2353124224 is about 48509.0117813175. The cubic root of 2353124224 is about 1330.0918066538.

Adding to 2353124224 its reverse (4224213532), we get a palindrome (6577337756).

The spelling of 2353124224 in words is "two billion, three hundred fifty-three million, one hundred twenty-four thousand, two hundred twenty-four".