2142141686784 has 396 divisors, whose sum is σ = 7050721549872. Its totient is φ = 649124720640.

The previous prime is 2142141686779. The next prime is 2142141686791. The reversal of 2142141686784 is 4876861412412.

2142141686784 is a `hidden beast` number, since 2 + 142 + 1 + 416 + 8 + 6 + 7 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2142141686784.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30073099 + ... + 30144245.

Almost surely, 2^{2142141686784} is an apocalyptic number.

2142141686784 is a gapful number since it is divisible by the number (24) 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 2142141686784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525360774936).

2142141686784 is an abundant number, since it is smaller than the sum of its proper divisors (4908579863088).

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

2142141686784 is an equidigital number, since it uses as much as digits as its factorization.

2142141686784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71204 (or 71163 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The spelling of 2142141686784 in words is "two trillion, one hundred forty-two billion, one hundred forty-one million, six hundred eighty-six thousand, seven hundred eighty-four".