2082145303056 has 320 divisors, whose sum is σ = 6875259066368. Its totient is φ = 528357924864.

The previous prime is 2082145303009. The next prime is 2082145303057. The reversal of 2082145303056 is 6503035412802.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2082145303057) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12501480 + ... + 12666936.

Almost surely, 2^{2082145303056} is an apocalyptic number.

2082145303056 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 2082145303056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437629533184).

2082145303056 is an abundant number, since it is smaller than the sum of its proper divisors (4793113763312).

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

2082145303056 is a wasteful number, since it uses less digits than its factorization.

2082145303056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165598 (or 165592 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 2082145303056 in words is "two trillion, eighty-two billion, one hundred forty-five million, three hundred three thousand, fifty-six".