2081661120 has 840 divisors, whose sum is σ = 9459925200. Its totient is φ = 429649920.

The previous prime is 2081661103. The next prime is 2081661157. The reversal of 2081661120 is 211661802.

2081661120 is a `hidden beast` number, since 20 + 8 + 1 + 6 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13970806 + ... + 13970954.

Almost surely, 2^2081661120 is an apocalyptic number.

2081661120 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 2081661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4729962600).

2081661120 is an abundant number, since it is smaller than the sum of its proper divisors (7378264080).

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

2081661120 is a wasteful number, since it uses less digits than its factorization.

2081661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2081661120 is about 45625.2246021869. The cubic root of 2081661120 is about 1276.8405804277.

The spelling of 2081661120 in words is "two billion, eighty-one million, six hundred sixty-one thousand, one hundred twenty".