2563416 has 24 divisors (see below), whose sum is σ = 6942780. Its totient is φ = 854448.

The previous prime is 2563409. The next prime is 2563417. The reversal of 2563416 is 6143652.

2563416 is a `hidden beast` number, since 25 + 634 + 1 + 6 = 666.

2563416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×2563416² = 13142203178112, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 2563416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2563417) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 17730 + ... + 17873.

2^2563416 is an apocalyptic number.

It is an amenable number.

2563416 is an abundant number, since it is smaller than the sum of its proper divisors (4379364).

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

2563416 is a wasteful number, since it uses less digits than its factorization.

2563416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35615 (or 35608 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 2563416 is about 1601.0671441261. The cubic root of 2563416 is about 136.8588953342.

The spelling of 2563416 in words is "two million, five hundred sixty-three thousand, four hundred sixteen".