2661327360 has 320 divisors, whose sum is σ = 9555638400. Its totient is φ = 702038016.

The previous prime is 2661327313. The next prime is 2661327367. The reversal of 2661327360 is 637231662.

2661327360 is a `hidden beast` number, since 2 + 6 + 613 + 2 + 7 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661327367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9607542 + ... + 9607818.

It is an arithmetic number, because the mean of its divisors is an integer number (29861370).

Almost surely, 2^2661327360 is an apocalyptic number.

2661327360 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 2661327360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4777819200).

2661327360 is an abundant number, since it is smaller than the sum of its proper divisors (6894311040).

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

2661327360 is a wasteful number, since it uses less digits than its factorization.

2661327360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 2661327360 is about 51588.0544312344. The cubic root of 2661327360 is about 1385.7964131921.

The spelling of 2661327360 in words is "two billion, six hundred sixty-one million, three hundred twenty-seven thousand, three hundred sixty".