2142684085696 has 448 divisors, whose sum is σ = 5580727455744. Its totient is φ = 792212889600.

The previous prime is 2142684085687. The next prime is 2142684085699. The reversal of 2142684085696 is 6965804862412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142684085699) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1123587975 + ... + 1123589881.

It is an arithmetic number, because the mean of its divisors is an integer number (12456980928).

Almost surely, 2^{2142684085696} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142684085696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790363727872).

2142684085696 is an abundant number, since it is smaller than the sum of its proper divisors (3438043370048).

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

2142684085696 is a wasteful number, since it uses less digits than its factorization.

2142684085696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 61.

The spelling of 2142684085696 in words is "two trillion, one hundred forty-two billion, six hundred eighty-four million, eighty-five thousand, six hundred ninety-six".