2368640 has 32 divisors (see below), whose sum is σ = 5664060. Its totient is φ = 947200.

The previous prime is 2368637. The next prime is 2368649. The reversal of 2368640 is 468632.

It can be written as a sum of positive squares in 2 ways, for example, as 2334784 + 33856 = 1528^2 + 184^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2368640² = 11220910899200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2368649) 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 3 ways as a sum of consecutive naturals, for example, 1211 + ... + 2490.

2^2368640 is an apocalyptic number.

2368640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2368640 is an abundant number, since it is smaller than the sum of its proper divisors (3295420).

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

2368640 is an equidigital number, since it uses as much as digits as its factorization.

2368640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3720 (or 3708 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 2368640 is about 1539.0386609829. The cubic root of 2368640 is about 133.3008809909.

The spelling of 2368640 in words is "two million, three hundred sixty-eight thousand, six hundred forty".