2105242114824 has 48 divisors (see below), whose sum is σ = 5703617091120. Its totient is φ = 701511101280.

The previous prime is 2105242114777. The next prime is 2105242114831. The reversal of 2105242114824 is 4284112425012.

2105242114824 is a `hidden beast` number, since 2 + 10 + 524 + 2 + 114 + 8 + 2 + 4 = 666.

It is a super-3 number, since 3×2105242114824³ (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4706902 + ... + 5134725.

It is an arithmetic number, because the mean of its divisors is an integer number (118825356065).

Almost surely, 2^{2105242114824} is an apocalyptic number.

2105242114824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2105242114824 is an abundant number, since it is smaller than the sum of its proper divisors (3598374976296).

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

2105242114824 is a wasteful number, since it uses less digits than its factorization.

2105242114824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9844610 (or 9844603 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

Adding to 2105242114824 its reverse (4284112425012), we get a palindrome (6389354539836).

The spelling of 2105242114824 in words is "two trillion, one hundred five billion, two hundred forty-two million, one hundred fourteen thousand, eight hundred twenty-four".