2041566160 has 80 divisors (see below), whose sum is σ = 4798099152. Its totient is φ = 807833600.

The previous prime is 2041566139. The next prime is 2041566173. The reversal of 2041566160 is 616651402.

It can be written as a sum of positive squares in 8 ways, for example, as 123476544 + 1918089616 = 11112^2 + 43796^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 4428330 + ... + 4428790.

Almost surely, 2^2041566160 is an apocalyptic number.

2041566160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2041566160 is an abundant number, since it is smaller than the sum of its proper divisors (2756532992).

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

2041566160 is a wasteful number, since it uses less digits than its factorization.

2041566160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 2041566160 is about 45183.6935187906. The cubic root of 2041566160 is about 1268.5896178805.

The spelling of 2041566160 in words is "two billion, forty-one million, five hundred sixty-six thousand, one hundred sixty".