2253824496 has 480 divisors, whose sum is σ = 8319467520. Its totient is φ = 552614400.

The previous prime is 2253824491. The next prime is 2253824509. The reversal of 2253824496 is 6944283522.

2253824496 is a `hidden beast` number, since 2 + 2 + 538 + 24 + 4 + 96 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (829440) is a multiple of the sum of its prime divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253824491) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27154471 + ... + 27154553.

It is an arithmetic number, because the mean of its divisors is an integer number (17332224).

Almost surely, 2^2253824496 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 2253824496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4159733760).

2253824496 is an abundant number, since it is smaller than the sum of its proper divisors (6065643024).

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

2253824496 is a wasteful number, since it uses less digits than its factorization.

2253824496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 216 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 2253824496 is about 47474.4615135338. The cubic root of 2253824496 is about 1311.1127223915.

The spelling of 2253824496 in words is "two billion, two hundred fifty-three million, eight hundred twenty-four thousand, four hundred ninety-six".