2082772548864 has 360 divisors, whose sum is σ = 7126987313600. Its totient is φ = 595077871104.

The previous prime is 2082772548863. The next prime is 2082772548919. The reversal of 2082772548864 is 4688452772802.

2082772548864 is a `hidden beast` number, since 2 + 0 + 8 + 2 + 7 + 7 + 2 + 548 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2082772548863) 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 39 ways as a sum of consecutive naturals, for example, 297538935549 + ... + 297538935555.

Almost surely, 2^{2082772548864} is an apocalyptic number.

2082772548864 is a gapful number since it is divisible by the number (24) 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 2082772548864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3563493656800).

2082772548864 is an abundant number, since it is smaller than the sum of its proper divisors (5044214764736).

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

2082772548864 is an frugal number, since it uses more digits than its factorization.

2082772548864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 96337920, while the sum is 63.

The spelling of 2082772548864 in words is "two trillion, eighty-two billion, seven hundred seventy-two million, five hundred forty-eight thousand, eight hundred sixty-four".