2681660160 has 432 divisors, whose sum is σ = 10044216000. Its totient is φ = 658538496.

The previous prime is 2681660123. The next prime is 2681660161. The reversal of 2681660160 is 610661862.

2681660160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2681660161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7683666 + ... + 7684014.

It is an arithmetic number, because the mean of its divisors is an integer number (23250500).

Almost surely, 2^2681660160 is an apocalyptic number.

2681660160 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 2681660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5022108000).

2681660160 is an abundant number, since it is smaller than the sum of its proper divisors (7362555840).

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

2681660160 is a wasteful number, since it uses less digits than its factorization.

2681660160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2681660160 is about 51784.7483338483. The cubic root of 2681660160 is about 1389.3166698029.

The spelling of 2681660160 in words is "two billion, six hundred eighty-one million, six hundred sixty thousand, one hundred sixty".