2084494117680 has 2400 divisors, whose sum is σ = 8967341053440. Its totient is φ = 445628252160.

The previous prime is 2084494117627. The next prime is 2084494117753. The reversal of 2084494117680 is 867114944802.

2084494117680 is a `hidden beast` number, since 2 + 0 + 8 + 4 + 494 + 1 + 1 + 76 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 25114386919 + ... + 25114387001.

Almost surely, 2^{2084494117680} is an apocalyptic number.

2084494117680 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 2084494117680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4483670526720).

2084494117680 is an abundant number, since it is smaller than the sum of its proper divisors (6882846935760).

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

2084494117680 is a wasteful number, since it uses less digits than its factorization.

2084494117680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 2084494117680 in words is "two trillion, eighty-four billion, four hundred ninety-four million, one hundred seventeen thousand, six hundred eighty".