2563632 has 60 divisors (see below), whose sum is σ = 7560280. Its totient is φ = 808704.

The previous prime is 2563601. The next prime is 2563633. The reversal of 2563632 is 2363652.

2563632 is a `hidden beast` number, since 25 + 6 + 3 + 632 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2563596 and 2563605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2563633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2268 + ... + 3204.

2^2563632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2563632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780140).

2563632 is an abundant number, since it is smaller than the sum of its proper divisors (4996648).

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

2563632 is a wasteful number, since it uses less digits than its factorization.

2563632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 961 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 2563632 is about 1601.1345977150. The cubic root of 2563632 is about 136.8627392533.

The spelling of 2563632 in words is "two million, five hundred sixty-three thousand, six hundred thirty-two".