2453224032 has 288 divisors, whose sum is σ = 8627254272. Its totient is φ = 645230592.

The previous prime is 2453224001. The next prime is 2453224063. The reversal of 2453224032 is 2304223542.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2453224001) and next prime (2453224063).

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

It is a junction number, because it is equal to n+sod(n) for n = 2453223987 and 2453224005.

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 47 ways as a sum of consecutive naturals, for example, 1610023 + ... + 1611545.

It is an arithmetic number, because the mean of its divisors is an integer number (29955744).

Almost surely, 2^2453224032 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 2453224032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4313627136).

2453224032 is an abundant number, since it is smaller than the sum of its proper divisors (6174030240).

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

2453224032 is a wasteful number, since it uses less digits than its factorization.

2453224032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 2453224032 is about 49530.0316171916. The cubic root of 2453224032 is about 1348.6908263016.

Adding to 2453224032 its reverse (2304223542), we get a palindrome (4757447574).

The spelling of 2453224032 in words is "two billion, four hundred fifty-three million, two hundred twenty-four thousand, thirty-two".