2638764 has 48 divisors (see below), whose sum is σ = 6985440. Its totient is φ = 861120.

The previous prime is 2638747. The next prime is 2638771. The reversal of 2638764 is 4678362.

2638764 is digitally balanced in base 5, 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 2¹⁹ + 6² + 3² + 8⁷ + 7⁵ + 6³ + 4⁴ .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5494 + ... + 5954.

It is an arithmetic number, because the mean of its divisors is an integer number (145530).

2^2638764 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 2638764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492720).

2638764 is an abundant number, since it is smaller than the sum of its proper divisors (4346676).

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

2638764 is a wasteful number, since it uses less digits than its factorization.

2638764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 519 counting only the distinct ones).

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

The square root of 2638764 is about 1624.4272836911. The cubic root of 2638764 is about 138.1868923365.

The spelling of 2638764 in words is "two million, six hundred thirty-eight thousand, seven hundred sixty-four".