2564416 has 28 divisors (see below), whose sum is σ = 5390388. Its totient is φ = 1206272.

The previous prime is 2564407. The next prime is 2564423. The reversal of 2564416 is 6144652.

It can be written as a sum of positive squares in 2 ways, for example, as 1218816 + 1345600 = 1104^2 + 1160^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 91 + ... + 2266.

2^2564416 is an apocalyptic number.

It is an amenable number.

2564416 is an abundant number, since it is smaller than the sum of its proper divisors (2825972).

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

2564416 is a wasteful number, since it uses less digits than its factorization.

2564416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386 (or 2376 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 2564416 is about 1601.3794053877. The cubic root of 2564416 is about 136.8766894421.

The spelling of 2564416 in words is "two million, five hundred sixty-four thousand, four hundred sixteen".