2675566080 has 960 divisors, whose sum is σ = 11582258688. Its totient is φ = 583925760.

The previous prime is 2675566067. The next prime is 2675566121. The reversal of 2675566080 is 806655762.

2675566080 is a `hidden beast` number, since 2 + 6 + 7 + 5 + 566 + 0 + 80 = 666.

2675566080 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116328949 + ... + 116328971.

Almost surely, 2^2675566080 is an apocalyptic number.

2675566080 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 2675566080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791129344).

2675566080 is an abundant number, since it is smaller than the sum of its proper divisors (8906692608).

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

2675566080 is a wasteful number, since it uses less digits than its factorization.

2675566080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 2675566080 is about 51725.8743763699. The cubic root of 2675566080 is about 1388.2634629587.

The spelling of 2675566080 in words is "two billion, six hundred seventy-five million, five hundred sixty-six thousand, eighty".