2638464 has 32 divisors (see below), whose sum is σ = 7009440. Its totient is φ = 879360.

The previous prime is 2638411. The next prime is 2638469. The reversal of 2638464 is 4648362.

2638464 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2638464² = 13922984558592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2638469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3052 + ... + 3819.

It is an arithmetic number, because the mean of its divisors is an integer number (219045).

2^2638464 is an apocalyptic number.

2638464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2638464 is an abundant number, since it is smaller than the sum of its proper divisors (4370976).

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

2638464 is an equidigital number, since it uses as much as digits as its factorization.

2638464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6888 (or 6876 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 2638464 is about 1624.3349408296. The cubic root of 2638464 is about 138.1816553343.

The spelling of 2638464 in words is "two million, six hundred thirty-eight thousand, four hundred sixty-four".