2986560 has 168 divisors, whose sum is σ = 11055096. Its totient is φ = 737280.

The previous prime is 2986559. The next prime is 2986561. The reversal of 2986560 is 656892.

2986560 is a `hidden beast` number, since 2 + 98 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (2986559) and next prime (2986561).

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 2903616 = 288^2 + 1704^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2986561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48930 + ... + 48990.

2^2986560 is an apocalyptic number.

2986560 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 2986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5527548).

2986560 is an abundant number, since it is smaller than the sum of its proper divisors (8068536).

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

2986560 is a wasteful number, since it uses less digits than its factorization.

2986560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2986560 is about 1728.1666586299. The cubic root of 2986560 is about 144.0092586639.

The spelling of 2986560 in words is "two million, nine hundred eighty-six thousand, five hundred sixty".