2440820268 has 18 divisors (see below), whose sum is σ = 6169851324. Its totient is φ = 813606744.

The previous prime is 2440820257. The next prime is 2440820269. The reversal of 2440820268 is 8620280442.

It is a happy number.

2440820268 is a `hidden beast` number, since 2 + 440 + 8 + 202 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 67800563 = 2440820268 / (2 + 4 + 4 + 0 + 8 + 2 + 0 + 2 + 6 + 8).

It is not an unprimeable number, because it can be changed into a prime (2440820269) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33900246 + ... + 33900317.

It is an arithmetic number, because the mean of its divisors is an integer number (342769518).

Almost surely, 2^2440820268 is an apocalyptic number.

It is an amenable number.

2440820268 is an abundant number, since it is smaller than the sum of its proper divisors (3729031056).

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

2440820268 is a wasteful number, since it uses less digits than its factorization.

2440820268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67800573 (or 67800568 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2440820268 is about 49404.6583633568. The cubic root of 2440820268 is about 1346.4139427341.

The spelling of 2440820268 in words is "two billion, four hundred forty million, eight hundred twenty thousand, two hundred sixty-eight".