2646081360 has 240 divisors, whose sum is σ = 10074355200. Its totient is φ = 617020416.

The previous prime is 2646081359. The next prime is 2646081401. The reversal of 2646081360 is 631806462.

2646081360 is a `hidden beast` number, since 2 + 646 + 0 + 8 + 1 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170401 + ... + 185279.

It is an arithmetic number, because the mean of its divisors is an integer number (41976480).

Almost surely, 2^2646081360 is an apocalyptic number.

2646081360 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 2646081360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5037177600).

2646081360 is an abundant number, since it is smaller than the sum of its proper divisors (7428273840).

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

2646081360 is a wasteful number, since it uses less digits than its factorization.

2646081360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14930 (or 14921 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2646081360 is about 51440.0754276274. The cubic root of 2646081360 is about 1383.1450637797.

The spelling of 2646081360 in words is "two billion, six hundred forty-six million, eighty-one thousand, three hundred sixty".