2084466908160 has 3696 divisors, whose sum is σ = 10311094293696. Its totient is φ = 392143306752.

The previous prime is 2084466908099. The next prime is 2084466908201. The reversal of 2084466908160 is 618096644802.

2084466908160 is a `hidden beast` number, since 2 + 0 + 8 + 446 + 69 + 0 + 81 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2084466908097 and 2084466908106.

It is a congruent number.

It is an unprimeable number.

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 335 ways as a sum of consecutive naturals, for example, 109708784631 + ... + 109708784649.

Almost surely, 2^{2084466908160} is an apocalyptic number.

2084466908160 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 2084466908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155547146848).

2084466908160 is an abundant number, since it is smaller than the sum of its proper divisors (8226627385536).

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

2084466908160 is a wasteful number, since it uses less digits than its factorization.

2084466908160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 2084466908160 in words is "two trillion, eighty-four billion, four hundred sixty-six million, nine hundred eight thousand, one hundred sixty".