2569632 has 96 divisors (see below), whose sum is σ = 7620480. Its totient is φ = 752640.

The previous prime is 2569607. The next prime is 2569649. The reversal of 2569632 is 2369652.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 2569593 and 2569602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36157 + ... + 36227.

It is an arithmetic number, because the mean of its divisors is an integer number (79380).

2^2569632 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 2569632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810240).

2569632 is an abundant number, since it is smaller than the sum of its proper divisors (5050848).

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

2569632 is a wasteful number, since it uses less digits than its factorization.

2569632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 118 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 2569632 is about 1603.0071740326. The cubic root of 2569632 is about 136.9694285951.

The spelling of 2569632 in words is "two million, five hundred sixty-nine thousand, six hundred thirty-two".