2240640 has 96 divisors (see below), whose sum is σ = 7757100. Its totient is φ = 595968.

The previous prime is 2240633. The next prime is 2240647. The reversal of 2240640 is 460422.

2240640 is a `hidden beast` number, since 2 + 24 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2240633) and next prime (2240647).

It can be written as a sum of positive squares in 2 ways, for example, as 2143296 + 97344 = 1464^2 + 312^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2240647) 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 11 ways as a sum of consecutive naturals, for example, 5566 + ... + 5954.

2^2240640 is an apocalyptic number.

2240640 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 2240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878550).

2240640 is an abundant number, since it is smaller than the sum of its proper divisors (5516460).

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

2240640 is a wasteful number, since it uses less digits than its factorization.

2240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2240640 is about 1496.8767484332. The cubic root of 2240640 is about 130.8551124259.

The spelling of 2240640 in words is "two million, two hundred forty thousand, six hundred forty".