2736648 has 48 divisors (see below), whose sum is σ = 7488000. Its totient is φ = 902880.

The previous prime is 2736637. The next prime is 2736673. The reversal of 2736648 is 8466372.

2736648 is a `hidden beast` number, since 2 + 7 + 3 + 6 + 648 = 666.

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

It is a d-powerful number, because it can be written as 2¹³ + 7 + 3⁵ + 6 + 6⁸ + 4¹⁰ + 8 .

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 11 ways as a sum of consecutive naturals, for example, 13653 + ... + 13851.

It is an arithmetic number, because the mean of its divisors is an integer number (156000).

2^2736648 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 2736648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744000).

2736648 is an abundant number, since it is smaller than the sum of its proper divisors (4751352).

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

2736648 is a wasteful number, since it uses less digits than its factorization.

2736648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 395 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 2736648 is about 1654.2817172417. The cubic root of 2736648 is about 139.8748541520.

The spelling of 2736648 in words is "two million, seven hundred thirty-six thousand, six hundred forty-eight".