2642816 has 32 divisors (see below), whose sum is σ = 5746680. Its totient is φ = 1200640.

The previous prime is 2642797. The next prime is 2642821. The reversal of 2642816 is 6182462.

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

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 470 + ... + 2346.

2^2642816 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 2642816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2873340).

2642816 is an abundant number, since it is smaller than the sum of its proper divisors (3103864).

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

2642816 is a wasteful number, since it uses less digits than its factorization.

2642816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 1890 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 2642816 is about 1625.6740140631. The cubic root of 2642816 is about 138.2575879257.

The spelling of 2642816 in words is "two million, six hundred forty-two thousand, eight hundred sixteen".