2084980068864 has 1280 divisors, whose sum is σ = 7974929571840. Its totient is φ = 522109255680.

The previous prime is 2084980068863. The next prime is 2084980068877. The reversal of 2084980068864 is 4688600894802.

2084980068864 is a `hidden beast` number, since 2 + 0 + 8 + 498 + 0 + 0 + 6 + 88 + 64 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2084980068863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6577224034 + ... + 6577224350.

It is an arithmetic number, because the mean of its divisors is an integer number (6230413728).

Almost surely, 2^{2084980068864} is an apocalyptic number.

2084980068864 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 2084980068864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3987464785920).

2084980068864 is an abundant number, since it is smaller than the sum of its proper divisors (5889949502976).

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

2084980068864 is a wasteful number, since it uses less digits than its factorization.

2084980068864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 2084980068864 in words is "two trillion, eighty-four billion, nine hundred eighty million, sixty-eight thousand, eight hundred sixty-four".