2966580 has 36 divisors (see below), whose sum is σ = 8999172. Its totient is φ = 791040.

The previous prime is 2966539. The next prime is 2966581. The reversal of 2966580 is 856692.

It can be written as a sum of positive squares in 2 ways, for example, as 1127844 + 1838736 = 1062^2 + 1356^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (2966581) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8061 + ... + 8420.

It is an arithmetic number, because the mean of its divisors is an integer number (249977).

2^2966580 is an apocalyptic number.

2966580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2966580 is an abundant number, since it is smaller than the sum of its proper divisors (6032592).

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

2966580 is a wasteful number, since it uses less digits than its factorization.

2966580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16496 (or 16491 counting only the distinct ones).

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

The square root of 2966580 is about 1722.3762655123. The cubic root of 2966580 is about 143.6874005948.

The spelling of 2966580 in words is "two million, nine hundred sixty-six thousand, five hundred eighty".