2088640 has 56 divisors (see below), whose sum is σ = 5102352. Its totient is φ = 814080.

The previous prime is 2088631. The next prime is 2088641. The reversal of 2088640 is 468802.

It is a junction number, because it is equal to n+sod(n) for n = 2088599 and 2088608.

It is not an unprimeable number, because it can be changed into a prime (2088641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19467 + ... + 19573.

2^2088640 is an apocalyptic number.

2088640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551176).

2088640 is an abundant number, since it is smaller than the sum of its proper divisors (3013712).

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

2088640 is a wasteful number, since it uses less digits than its factorization.

2088640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 2088640 is about 1445.2127871009. The cubic root of 2088640 is about 127.8265880877.

The spelling of 2088640 in words is "two million, eighty-eight thousand, six hundred forty".