2254633248 has 96 divisors (see below), whose sum is σ = 6845561856. Its totient is φ = 636403968.

The previous prime is 2254633247. The next prime is 2254633289. The reversal of 2254633248 is 8423364522.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2254633243) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 35565 + ... + 75987.

It is an arithmetic number, because the mean of its divisors is an integer number (71307936).

Almost surely, 2^2254633248 is an apocalyptic number.

2254633248 is a gapful number since it is divisible by the number (28) 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 2254633248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3422780928).

2254633248 is an abundant number, since it is smaller than the sum of its proper divisors (4590928608).

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

2254633248 is a wasteful number, since it uses less digits than its factorization.

2254633248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40526 (or 40518 counting only the distinct ones).

The product of its digits is 276480, while the sum is 39.

The square root of 2254633248 is about 47482.9785080928. The cubic root of 2254633248 is about 1311.2695281871.

The spelling of 2254633248 in words is "two billion, two hundred fifty-four million, six hundred thirty-three thousand, two hundred forty-eight".