2567552 has 32 divisors (see below), whose sum is σ = 5512080. Its totient is φ = 1184256.

The previous prime is 2567533. The next prime is 2567557. The reversal of 2567552 is 2557652.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 2¹³ + 5³ + 6⁴ + 7⁴ + 5⁷ + 5⁹ + 2¹⁹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2567557) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 893 + ... + 2435.

2^2567552 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 2567552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756040).

2567552 is an abundant number, since it is smaller than the sum of its proper divisors (2944528).

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

2567552 is a wasteful number, since it uses less digits than its factorization.

2567552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1558 counting only the distinct ones).

The product of its digits is 21000, while the sum is 32.

The square root of 2567552 is about 1602.3582620625. The cubic root of 2567552 is about 136.9324617822.

The spelling of 2567552 in words is "two million, five hundred sixty-seven thousand, five hundred fifty-two".