2642664 has 32 divisors (see below), whose sum is σ = 6660000. Its totient is φ = 873792.

The previous prime is 2642639. The next prime is 2642693. The reversal of 2642664 is 4662462.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3207 + ... + 3945.

It is an arithmetic number, because the mean of its divisors is an integer number (208125).

2^2642664 is an apocalyptic number.

2642664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2642664 is an abundant number, since it is smaller than the sum of its proper divisors (4017336).

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

2642664 is a wasteful number, since it uses less digits than its factorization.

2642664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 893 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 2642664 is about 1625.6272635509. The cubic root of 2642664 is about 138.2549372737.

The spelling of 2642664 in words is "two million, six hundred forty-two thousand, six hundred sixty-four".