2248633856 has 160 divisors (see below), whose sum is σ = 5453555712. Its totient is φ = 905748480.

The previous prime is 2248633811. The next prime is 2248633883. The reversal of 2248633856 is 6583368422.

Its product of digits (1658880) is a multiple of the sum of its prime factors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 2248633856.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4110575 + ... + 4111121.

Almost surely, 2^2248633856 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 2248633856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726777856).

2248633856 is an abundant number, since it is smaller than the sum of its proper divisors (3204921856).

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

2248633856 is an equidigital number, since it uses as much as digits as its factorization.

2248633856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 624 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 47.

The square root of 2248633856 is about 47419.7622937948. The cubic root of 2248633856 is about 1310.1054352525.

The spelling of 2248633856 in words is "two billion, two hundred forty-eight million, six hundred thirty-three thousand, eight hundred fifty-six".