2305440 has 72 divisors (see below), whose sum is σ = 7872228. Its totient is φ = 614400.

The previous prime is 2305411. The next prime is 2305463. The reversal of 2305440 is 445032.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2108304 + 197136 = 1452^2 + 444^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

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, 640 + ... + 2240.

2^2305440 is an apocalyptic number.

2305440 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 2305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3936114).

2305440 is an abundant number, since it is smaller than the sum of its proper divisors (5566788).

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

2305440 is a wasteful number, since it uses less digits than its factorization.

2305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2305440 is about 1518.3675444371. The cubic root of 2305440 is about 132.1046002857.

The spelling of 2305440 in words is "two million, three hundred five thousand, four hundred forty".