2112848640 has 648 divisors, whose sum is σ = 8996747760. Its totient is φ = 455196672.

The previous prime is 2112848627. The next prime is 2112848651. The reversal of 2112848640 is 468482112.

2112848640 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 8 + 4 + 8 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2112848595 and 2112848604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10725022 + ... + 10725218.

It is an arithmetic number, because the mean of its divisors is an integer number (13883870).

Almost surely, 2^2112848640 is an apocalyptic number.

2112848640 is a gapful number since it is divisible by the number (20) 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 2112848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4498373880).

2112848640 is an abundant number, since it is smaller than the sum of its proper divisors (6883899120).

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

2112848640 is a wasteful number, since it uses less digits than its factorization.

2112848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2112848640 is about 45965.7333238577. The cubic root of 2112848640 is about 1283.1855550682.

The spelling of 2112848640 in words is "two billion, one hundred twelve million, eight hundred forty-eight thousand, six hundred forty".