2134872881856 has 1512 divisors, whose sum is σ = 7842728314512. Its totient is φ = 551262412800.

The previous prime is 2134872881851. The next prime is 2134872881879. The reversal of 2134872881856 is 6581882784312.

2134872881856 is a `hidden beast` number, since 2 + 1 + 3 + 487 + 28 + 81 + 8 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2134872881793 and 2134872881802.

It is not an unprimeable number, because it can be changed into a prime (2134872881851) 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 215 ways as a sum of consecutive naturals, for example, 19952082955 + ... + 19952083061.

It is an arithmetic number, because the mean of its divisors is an integer number (5186989626).

Almost surely, 2^{2134872881856} is an apocalyptic number.

2134872881856 is a gapful number since it is divisible by the number (26) 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 2134872881856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3921364157256).

2134872881856 is an abundant number, since it is smaller than the sum of its proper divisors (5707855432656).

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

2134872881856 is a wasteful number, since it uses less digits than its factorization.

2134872881856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 216 counting only the distinct ones).

The product of its digits is 41287680, while the sum is 63.

The spelling of 2134872881856 in words is "two trillion, one hundred thirty-four billion, eight hundred seventy-two million, eight hundred eighty-one thousand, eight hundred fifty-six".