2642688 has 108 divisors (see below), whose sum is σ = 8077888. Its totient is φ = 829440.

The previous prime is 2642639. The next prime is 2642693. The reversal of 2642688 is 8862462.

2642688 is a `hidden beast` number, since 2 + 642 + 6 + 8 + 8 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71406 + ... + 71442.

2^2642688 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 2642688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4038944).

2642688 is an abundant number, since it is smaller than the sum of its proper divisors (5435200).

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

2642688 is a wasteful number, since it uses less digits than its factorization.

2642688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 73 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2642688 is about 1625.6346453001. The cubic root of 2642688 is about 138.2553558045.

The spelling of 2642688 in words is "two million, six hundred forty-two thousand, six hundred eighty-eight".