2652847666560 has 640 divisors, whose sum is σ = 11660079816000. Its totient is φ = 559720710144.

The previous prime is 2652847666517. The next prime is 2652847666589. The reversal of 2652847666560 is 656667482562.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4436266 + ... + 4998614.

Almost surely, 2^{2652847666560} is an apocalyptic number.

2652847666560 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 2652847666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5830039908000).

2652847666560 is an abundant number, since it is smaller than the sum of its proper divisors (9007232149440).

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

2652847666560 is a wasteful number, since it uses less digits than its factorization.

2652847666560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562400 (or 562379 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 2652847666560 in words is "two trillion, six hundred fifty-two billion, eight hundred forty-seven million, six hundred sixty-six thousand, five hundred sixty".