2731602960 has 160 divisors (see below), whose sum is σ = 9425825280. Its totient is φ = 727114752.

The previous prime is 2731602947. The next prime is 2731602989. The reversal of 2731602960 is 692061372.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2057817 + ... + 2059143.

It is an arithmetic number, because the mean of its divisors is an integer number (58911408).

Almost surely, 2^2731602960 is an apocalyptic number.

2731602960 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 2731602960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712912640).

2731602960 is an abundant number, since it is smaller than the sum of its proper divisors (6694222320).

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

2731602960 is a wasteful number, since it uses less digits than its factorization.

2731602960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2731602960 is about 52264.7391651389. The cubic root of 2731602960 is about 1397.8884768006. Note that the first 3 decimals are identical.

The spelling of 2731602960 in words is "two billion, seven hundred thirty-one million, six hundred two thousand, nine hundred sixty".