2112983040 has 416 divisors, whose sum is σ = 8209347840. Its totient is φ = 454557696.

The previous prime is 2112983039. The next prime is 2112983051. The reversal of 2112983040 is 403892112.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2112982989 and 2112983007.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 124293112 + ... + 124293128.

Almost surely, 2^2112983040 is an apocalyptic number.

2112983040 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 2112983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4104673920).

2112983040 is an abundant number, since it is smaller than the sum of its proper divisors (6096364800).

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

2112983040 is an frugal number, since it uses more digits than its factorization.

2112983040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2112983040 is about 45967.1952592281. The cubic root of 2112983040 is about 1283.2127626461.

The spelling of 2112983040 in words is "two billion, one hundred twelve million, nine hundred eighty-three thousand, forty".