2641896 has 64 divisors (see below), whose sum is σ = 7478400. Its totient is φ = 874800.

The previous prime is 2641889. The next prime is 2641901. The reversal of 2641896 is 6981462.

2641896 is a `hidden beast` number, since 2 + 641 + 8 + 9 + 6 = 666.

2641896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2641896² = 13959228949632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2641896.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17421 + ... + 17571.

It is an arithmetic number, because the mean of its divisors is an integer number (116850).

2^2641896 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 2641896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739200).

2641896 is an abundant number, since it is smaller than the sum of its proper divisors (4836504).

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

2641896 is an equidigital number, since it uses as much as digits as its factorization.

2641896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 156 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 2641896 is about 1625.3910298756. The cubic root of 2641896 is about 138.2415429515.

The spelling of 2641896 in words is "two million, six hundred forty-one thousand, eight hundred ninety-six".