2112309248 has 192 divisors, whose sum is σ = 5136768000. Its totient is φ = 867041280.

The previous prime is 2112309197. The next prime is 2112309257. The reversal of 2112309248 is 8429032112.

It is a super-3 number, since 3×2112309248³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21776336 + ... + 21776432.

It is an arithmetic number, because the mean of its divisors is an integer number (26754000).

Almost surely, 2^2112309248 is an apocalyptic number.

2112309248 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 2112309248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568384000).

2112309248 is an abundant number, since it is smaller than the sum of its proper divisors (3024458752).

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

2112309248 is an frugal number, since it uses more digits than its factorization.

2112309248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 2112309248 is about 45959.8656220838. The cubic root of 2112309248 is about 1283.0763503801.

The spelling of 2112309248 in words is "two billion, one hundred twelve million, three hundred nine thousand, two hundred forty-eight".