2082142206816 has 48 divisors (see below), whose sum is σ = 6246426622464. Its totient is φ = 594897773184.

The previous prime is 2082142206811. The next prime is 2082142206817. The reversal of 2082142206816 is 6186022412802.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2082142206811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1549212280 + ... + 1549213623.

It is an arithmetic number, because the mean of its divisors is an integer number (130133887968).

Almost surely, 2^{2082142206816} is an apocalyptic number.

It is an amenable number.

2082142206816 is an abundant number, since it is smaller than the sum of its proper divisors (4164284415648).

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

2082142206816 is a wasteful number, since it uses less digits than its factorization.

2082142206816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3098425923 (or 3098425915 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 2082142206816 in words is "two trillion, eighty-two billion, one hundred forty-two million, two hundred six thousand, eight hundred sixteen".