2355675840 has 168 divisors, whose sum is σ = 9260128800. Its totient is φ = 538435584.

The previous prime is 2355675811. The next prime is 2355675851. The reversal of 2355675840 is 485765532.

2355675840 is a `hidden beast` number, since 2 + 3 + 5 + 5 + 67 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38265 + ... + 78584.

Almost surely, 2^2355675840 is an apocalyptic number.

2355675840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2355675840 is an abundant number, since it is smaller than the sum of its proper divisors (6904452960).

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

2355675840 is a wasteful number, since it uses less digits than its factorization.

2355675840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116879 (or 116866 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 2355675840 is about 48535.3050881521. The cubic root of 2355675840 is about 1330.5723957528.

The spelling of 2355675840 in words is "two billion, three hundred fifty-five million, six hundred seventy-five thousand, eight hundred forty".