2082645946080 has 384 divisors, whose sum is σ = 8332592808960. Its totient is φ = 475918571520.

The previous prime is 2082645946063. The next prime is 2082645946097. The reversal of 2082645946080 is 806495462802.

2082645946080 is a `hidden beast` number, since 2 + 0 + 8 + 26 + 4 + 5 + 9 + 4 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2082645946063) and next prime (2082645946097).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 242248342 + ... + 242256938.

It is an arithmetic number, because the mean of its divisors is an integer number (21699460440).

Almost surely, 2^{2082645946080} is an apocalyptic number.

2082645946080 is a gapful number since it is divisible by the number (20) 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 2082645946080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4166296404480).

2082645946080 is an abundant number, since it is smaller than the sum of its proper divisors (6249946862880).

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

2082645946080 is a wasteful number, since it uses less digits than its factorization.

2082645946080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16639 (or 16625 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 2082645946080 in words is "two trillion, eighty-two billion, six hundred forty-five million, nine hundred forty-six thousand, eighty".