2564080 has 20 divisors (see below), whose sum is σ = 5961672. Its totient is φ = 1025600.

The previous prime is 2564077. The next prime is 2564101. The reversal of 2564080 is 804652.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15946 + ... + 16105.

2^2564080 is an apocalyptic number.

2564080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2564080 is an abundant number, since it is smaller than the sum of its proper divisors (3397592).

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

2564080 is a wasteful number, since it uses less digits than its factorization.

2564080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32064 (or 32058 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2564080 is about 1601.2744923966. The cubic root of 2564080 is about 136.8707111380.

The spelling of 2564080 in words is "two million, five hundred sixty-four thousand, eighty".