2652880066560 has 288 divisors, whose sum is σ = 9534948106320. Its totient is φ = 707434020864.

The previous prime is 2652880066541. The next prime is 2652880066579. The reversal of 2652880066560 is 656600882562.

2652880066560 is a `hidden beast` number, since 2 + 6 + 528 + 8 + 0 + 0 + 66 + 56 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2652880066541) and next prime (2652880066579).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2652880066497 and 2652880066506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1955254 + ... + 3021386.

Almost surely, 2^{2652880066560} is an apocalyptic number.

2652880066560 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 2652880066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4767474053160).

2652880066560 is an abundant number, since it is smaller than the sum of its proper divisors (6882068039760).

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

2652880066560 is an equidigital number, since it uses as much as digits as its factorization.

2652880066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066175 (or 1066143 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 2652880066560 in words is "two trillion, six hundred fifty-two billion, eight hundred eighty million, sixty-six thousand, five hundred sixty".