2124102563856 has 240 divisors, whose sum is σ = 7545184398720. Its totient is φ = 560202739200.

The previous prime is 2124102563827. The next prime is 2124102563857. The reversal of 2124102563856 is 6583652014212.

2124102563856 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 1 + 0 + 2 + 5 + 638 + 5 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (2124102563857) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1567095 + ... + 2589206.

It is an arithmetic number, because the mean of its divisors is an integer number (31438268328).

Almost surely, 2^{2124102563856} is an apocalyptic number.

2124102563856 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2124102563856 is an abundant number, since it is smaller than the sum of its proper divisors (5421081834864).

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

2124102563856 is a wasteful number, since it uses less digits than its factorization.

2124102563856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4156351 (or 4156326 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 2124102563856 in words is "two trillion, one hundred twenty-four billion, one hundred two million, five hundred sixty-three thousand, eight hundred fifty-six".