2102884138656 has 144 divisors (see below), whose sum is σ = 7087498576704. Its totient is φ = 600824024064.

The previous prime is 2102884138631. The next prime is 2102884138661. The reversal of 2102884138656 is 6568314882012.

2102884138656 is a `hidden beast` number, since 21 + 0 + 2 + 88 + 413 + 86 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2102884138656² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 23 ways as a sum of consecutive naturals, for example, 19262185 + ... + 19371048.

It is an arithmetic number, because the mean of its divisors is an integer number (49218740116).

Almost surely, 2^{2102884138656} is an apocalyptic number.

It is an amenable number.

2102884138656 is an abundant number, since it is smaller than the sum of its proper divisors (4984614438048).

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

2102884138656 is an equidigital number, since it uses as much as digits as its factorization.

2102884138656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38633265 (or 38633245 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 2102884138656 in words is "two trillion, one hundred two billion, eight hundred eighty-four million, one hundred thirty-eight thousand, six hundred fifty-six".