2738664 has 64 divisors (see below), whose sum is σ = 7872000. Its totient is φ = 881280.

The previous prime is 2738657. The next prime is 2738707. The reversal of 2738664 is 4668372.

2738664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 + 7² + 3⁷ + 8 + 6² + 6⁸ + 4¹⁰ .

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, 6492 + ... + 6900.

It is an arithmetic number, because the mean of its divisors is an integer number (123000).

2^2738664 is an apocalyptic number.

2738664 is a gapful number since it is divisible by the number (24) 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 2738664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3936000).

2738664 is an abundant number, since it is smaller than the sum of its proper divisors (5133336).

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

2738664 is a wasteful number, since it uses less digits than its factorization.

2738664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 445 counting only the distinct ones).

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

The square root of 2738664 is about 1654.8909329620. The cubic root of 2738664 is about 139.9091928138.

The spelling of 2738664 in words is "two million, seven hundred thirty-eight thousand, six hundred sixty-four".