2564980 has 48 divisors (see below), whose sum is σ = 5987520. Its totient is φ = 915200.

The previous prime is 2564957. The next prime is 2564999. The reversal of 2564980 is 894652.

It is a happy number.

2564980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19515 + ... + 19645.

It is an arithmetic number, because the mean of its divisors is an integer number (124740).

2^2564980 is an apocalyptic number.

2564980 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 2564980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993760).

2564980 is an abundant number, since it is smaller than the sum of its proper divisors (3422540).

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

2564980 is a wasteful number, since it uses less digits than its factorization.

2564980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 2564980 is about 1601.5554938871. Note that the first 3 decimals coincide. The cubic root of 2564980 is about 136.8867232788.

The spelling of 2564980 in words is "two million, five hundred sixty-four thousand, nine hundred eighty".