2164140164142 has 36 divisors (see below), whose sum is σ = 5153992214280. Its totient is φ = 655800049080.

The previous prime is 2164140164057. The next prime is 2164140164167. The reversal of 2164140164142 is 2414610414612.

2164140164142 is a `hidden beast` number, since 2 + 1 + 6 + 4 + 1 + 4 + 0 + 1 + 641 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2164140164097 and 2164140164106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 496816042 + ... + 496820397.

Almost surely, 2^{2164140164142} is an apocalyptic number.

2164140164142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2164140164142 is an abundant number, since it is smaller than the sum of its proper divisors (2989852050138).

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

2164140164142 is a wasteful number, since it uses less digits than its factorization.

2164140164142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993636469 (or 993636455 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 2164140164142 its reverse (2414610414612), we get a palindrome (4578750578754).

The spelling of 2164140164142 in words is "two trillion, one hundred sixty-four billion, one hundred forty million, one hundred sixty-four thousand, one hundred forty-two".