2288640 has 88 divisors (see below), whose sum is σ = 7369200. Its totient is φ = 606208.

The previous prime is 2288633. The next prime is 2288641. The reversal of 2288640 is 468822.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2288598 and 2288607.

It is not an unprimeable number, because it can be changed into a prime (2288641) 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 7 ways as a sum of consecutive naturals, for example, 15286 + ... + 15434.

2^2288640 is an apocalyptic number.

2288640 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 2288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3684600).

2288640 is an abundant number, since it is smaller than the sum of its proper divisors (5080560).

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

2288640 is a wasteful number, since it uses less digits than its factorization.

2288640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 2288640 is about 1512.8251716573. The cubic root of 2288640 is about 131.7829306524.

The spelling of 2288640 in words is "two million, two hundred eighty-eight thousand, six hundred forty".