2248326000 has 120 divisors (see below), whose sum is σ = 7852716144. Its totient is φ = 599548800.

The previous prime is 2248325971. The next prime is 2248326001. The reversal of 2248326000 is 6238422.

2248326000 is a `hidden beast` number, since 2 + 24 + 8 + 32 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248326001) 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 23 ways as a sum of consecutive naturals, for example, 44454 + ... + 80453.

Almost surely, 2^2248326000 is an apocalyptic number.

2248326000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2248326000 is an abundant number, since it is smaller than the sum of its proper divisors (5604390144).

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

2248326000 is a wasteful number, since it uses less digits than its factorization.

2248326000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124936 (or 124917 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2248326000 is about 47416.5161098957. The cubic root of 2248326000 is about 1310.0456445452.

The spelling of 2248326000 in words is "two billion, two hundred forty-eight million, three hundred twenty-six thousand".