2557632 has 112 divisors (see below), whose sum is σ = 8485632. Its totient is φ = 660480.

The previous prime is 2557631. The next prime is 2557649. The reversal of 2557632 is 2367552.

It is a tau number, because it is divible by the number of its divisors (112).

It is a d-powerful number, because it can be written as 2¹¹ + 5⁷ + 5⁹ + 7 + 6² + 3 + 2¹⁹ .

It is a self number, because there is not a number n which added to its sum of digits gives 2557632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2557631) 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, 14698 + ... + 14870.

2^2557632 is an apocalyptic number.

2557632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2557632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4242816).

2557632 is an abundant number, since it is smaller than the sum of its proper divisors (5928000).

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

2557632 is a wasteful number, since it uses less digits than its factorization.

2557632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its digits is 12600, while the sum is 30.

The square root of 2557632 is about 1599.2598287958. The cubic root of 2557632 is about 136.7558833154.

It can be divided in two parts, 255 and 7632, that added together give a palindrome (7887).

The spelling of 2557632 in words is "two million, five hundred fifty-seven thousand, six hundred thirty-two".