2563405 has 16 divisors (see below), whose sum is σ = 3351600. Its totient is φ = 1870848.

The previous prime is 2563387. The next prime is 2563409. The reversal of 2563405 is 5043652.

It can be written as a sum of positive squares in 8 ways, for example, as 527076 + 2036329 = 726^2 + 1427^2 .

It is a cyclic number.

It is not a de Polignac number, because 2563405 - 2¹³ = 2555213 is a prime.

It is a d-powerful number, because it can be written as 2¹⁹ + 5⁷ + 6⁵ + 3³ + 4³ + 0 + 5⁹ .

It is a self number, because there is not a number n which added to its sum of digits gives 2563405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2563409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7171 + ... + 7519.

It is an arithmetic number, because the mean of its divisors is an integer number (209475).

2^2563405 is an apocalyptic number.

It is an amenable number.

2563405 is a deficient number, since it is larger than the sum of its proper divisors (788195).

2563405 is a wasteful number, since it uses less digits than its factorization.

2563405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480.

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 2563405 is about 1601.0637089135. The cubic root of 2563405 is about 136.8586995733.

The spelling of 2563405 in words is "two million, five hundred sixty-three thousand, four hundred five".