2661946560 has 504 divisors, whose sum is σ = 11478042576. Its totient is φ = 561254400.

The previous prime is 2661946549. The next prime is 2661946583. The reversal of 2661946560 is 656491662.

2661946560 is a `hidden beast` number, since 26 + 61 + 9 + 4 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1833835 + ... + 1835285.

It is an arithmetic number, because the mean of its divisors is an integer number (22773894).

Almost surely, 2^2661946560 is an apocalyptic number.

2661946560 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 2661946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5739021288).

2661946560 is an abundant number, since it is smaller than the sum of its proper divisors (8816096016).

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

2661946560 is a wasteful number, since it uses less digits than its factorization.

2661946560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 2661946560 is about 51594.0554715366. The cubic root of 2661946560 is about 1385.9038806927.

The spelling of 2661946560 in words is "two billion, six hundred sixty-one million, nine hundred forty-six thousand, five hundred sixty".