2112284011464 has 48 divisors (see below), whose sum is σ = 6240839127120. Its totient is φ = 640086063840.

The previous prime is 2112284011429. The next prime is 2112284011469. The reversal of 2112284011464 is 4641104822112.

2112284011464 is a `hidden beast` number, since 2 + 11 + 228 + 401 + 14 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2112284011469) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1333511842 + ... + 1333513425.

It is an arithmetic number, because the mean of its divisors is an integer number (130017481815).

Almost surely, 2^{2112284011464} is an apocalyptic number.

2112284011464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2112284011464 is an abundant number, since it is smaller than the sum of its proper divisors (4128555115656).

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

2112284011464 is a wasteful number, since it uses less digits than its factorization.

2112284011464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667025290 (or 2667025283 counting only the distinct ones).

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

Adding to 2112284011464 its reverse (4641104822112), we get a palindrome (6753388833576).

The spelling of 2112284011464 in words is "two trillion, one hundred twelve billion, two hundred eighty-four million, eleven thousand, four hundred sixty-four".