2638362 has 32 divisors (see below), whose sum is σ = 5572800. Its totient is φ = 831488.

The previous prime is 2638357. The next prime is 2638367.

2638362 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2638357) and next prime (2638367).

It is a d-powerful number, because it can be written as 2⁵ + 6 + 3⁵ + 8⁷ + 3¹² + 6⁴ + 2¹³ .

It is not an unprimeable number, because it can be changed into a prime (2638367) 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 15 ways as a sum of consecutive naturals, for example, 10138 + ... + 10394.

It is an arithmetic number, because the mean of its divisors is an integer number (174150).

2^2638362 is an apocalyptic number.

2638362 is an abundant number, since it is smaller than the sum of its proper divisors (2934438).

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

2638362 is a wasteful number, since it uses less digits than its factorization.

2638362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350.

The product of its digits is 10368, while the sum is 30.

The square root of 2638362 is about 1624.3035430608. The cubic root of 2638362 is about 138.1798746631.

The spelling of 2638362 in words is "two million, six hundred thirty-eight thousand, three hundred sixty-two".