2646072 has 96 divisors (see below), whose sum is σ = 8452080. Its totient is φ = 737280.

The previous prime is 2646071. The next prime is 2646079. The reversal of 2646072 is 2706462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2646071) 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 23 ways as a sum of consecutive naturals, for example, 10168 + ... + 10424.

2^2646072 is an apocalyptic number.

2646072 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 2646072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4226040).

2646072 is an abundant number, since it is smaller than the sum of its proper divisors (5806008).

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

2646072 is a wasteful number, since it uses less digits than its factorization.

2646072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2646072 is about 1626.6751365900. The cubic root of 2646072 is about 138.3143432909.

It can be divided in two parts, 264 and 6072, that added together give a palindrome (6336).

The spelling of 2646072 in words is "two million, six hundred forty-six thousand, seventy-two".