2112748475040 has 768 divisors, whose sum is σ = 8922261196800. Its totient is φ = 456135929856.

The previous prime is 2112748475029. The next prime is 2112748475077. The reversal of 2112748475040 is 405748472112.

2112748475040 is a `hidden beast` number, since 2 + 1 + 127 + 484 + 7 + 5 + 0 + 40 = 666.

It is a super-2 number, since 2×2112748475040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 199367022 + ... + 199377618.

It is an arithmetic number, because the mean of its divisors is an integer number (11617527600).

Almost surely, 2^{2112748475040} is an apocalyptic number.

2112748475040 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 2112748475040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4461130598400).

2112748475040 is an abundant number, since it is smaller than the sum of its proper divisors (6809512721760).

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

2112748475040 is a wasteful number, since it uses less digits than its factorization.

2112748475040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10994 (or 10980 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 2112748475040 in words is "two trillion, one hundred twelve billion, seven hundred forty-eight million, four hundred seventy-five thousand, forty".