2355441440 has 48 divisors (see below), whose sum is σ = 6070619520. Its totient is φ = 856523520.

The previous prime is 2355441421. The next prime is 2355441463. The reversal of 2355441440 is 441445532.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2355441397 and 2355441406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 667400 + ... + 670919.

It is an arithmetic number, because the mean of its divisors is an integer number (126471240).

Almost surely, 2^2355441440 is an apocalyptic number.

2355441440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2355441440 is an abundant number, since it is smaller than the sum of its proper divisors (3715178080).

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

2355441440 is a wasteful number, since it uses less digits than its factorization.

2355441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338345 (or 1338337 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The square root of 2355441440 is about 48532.8902910181. The cubic root of 2355441440 is about 1330.5282617072.

Adding to 2355441440 its reverse (441445532), we get a palindrome (2796886972).

The spelling of 2355441440 in words is "two billion, three hundred fifty-five million, four hundred forty-one thousand, four hundred forty".