2248290432 has 288 divisors, whose sum is σ = 7036869840. Its totient is φ = 714147840.

The previous prime is 2248290413. The next prime is 2248290487. The reversal of 2248290432 is 2340928422.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52285803 + ... + 52285845.

Almost surely, 2^2248290432 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 2248290432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3518434920).

2248290432 is an abundant number, since it is smaller than the sum of its proper divisors (4788579408).

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

2248290432 is an frugal number, since it uses more digits than its factorization.

2248290432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2248290432 is about 47416.1410492250. The cubic root of 2248290432 is about 1310.0387363019.

The spelling of 2248290432 in words is "two billion, two hundred forty-eight million, two hundred ninety thousand, four hundred thirty-two".