2641536 has 48 divisors (see below), whose sum is σ = 7604610. Its totient is φ = 880128.

The previous prime is 2641531. The next prime is 2641543. The reversal of 2641536 is 6351462.

It can be written as a sum of positive squares in only one way, i.e., 2433600 + 207936 = 1560^2 + 456^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2641531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6 + ... + 2298.

2^2641536 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 2641536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3802305).

2641536 is an abundant number, since it is smaller than the sum of its proper divisors (4963074).

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

2641536 is a wasteful number, since it uses less digits than its factorization.

2641536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2298 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 2641536 is about 1625.2802835204. The cubic root of 2641536 is about 138.2352634694.

Adding to 2641536 its reverse (6351462), we get a palindrome (8992998).

It can be divided in two parts, 264 and 1536, that multiplied together give a palindrome (405504).

The spelling of 2641536 in words is "two million, six hundred forty-one thousand, five hundred thirty-six".