2663146160 has 80 divisors (see below), whose sum is σ = 6281383680. Its totient is φ = 1049967360.

The previous prime is 2663146121. The next prime is 2663146163. The reversal of 2663146160 is 616413662.

2663146160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2663146160.

It is not an unprimeable number, because it can be changed into a prime (2663146163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1707461 + ... + 1709019.

It is an arithmetic number, because the mean of its divisors is an integer number (78517296).

Almost surely, 2^2663146160 is an apocalyptic number.

2663146160 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 2663146160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3140691840).

2663146160 is an abundant number, since it is smaller than the sum of its proper divisors (3618237520).

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

2663146160 is a wasteful number, since it uses less digits than its factorization.

2663146160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 2663146160 is about 51605.6795323926. The cubic root of 2663146160 is about 1386.1120342102.

The spelling of 2663146160 in words is "two billion, six hundred sixty-three million, one hundred forty-six thousand, one hundred sixty".