2253332448 has 144 divisors (see below), whose sum is σ = 6850430496. Its totient is φ = 700846080.

The previous prime is 2253332447. The next prime is 2253332461. The reversal of 2253332448 is 8442333522.

2253332448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253332447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267436 + ... + 275732.

It is an arithmetic number, because the mean of its divisors is an integer number (47572434).

Almost surely, 2^2253332448 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 2253332448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425215248).

2253332448 is an abundant number, since it is smaller than the sum of its proper divisors (4597098048).

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

2253332448 is a wasteful number, since it uses less digits than its factorization.

2253332448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8377 (or 8366 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 2253332448 is about 47469.2789917858. The cubic root of 2253332448 is about 1311.0173027545.

The spelling of 2253332448 in words is "two billion, two hundred fifty-three million, three hundred thirty-two thousand, four hundred forty-eight".