2956580 has 48 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 1056000.

The previous prime is 2956561. The next prime is 2956621. The reversal of 2956580 is 856592.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2956580.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19505 + ... + 19655.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

2^2956580 is an apocalyptic number.

2956580 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 2956580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360).

2956580 is an abundant number, since it is smaller than the sum of its proper divisors (3938140).

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

2956580 is a wasteful number, since it uses less digits than its factorization.

2956580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 2956580 is about 1719.4708488369. The cubic root of 2956580 is about 143.5257676091.

The spelling of 2956580 in words is "two million, nine hundred fifty-six thousand, five hundred eighty".