2355540480 has 320 divisors, whose sum is σ = 8538203520. Its totient is φ = 615333888.

The previous prime is 2355540463. The next prime is 2355540491. The reversal of 2355540480 is 840455532.

2355540480 is a `hidden beast` number, since 2 + 35 + 5 + 540 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 3663039 + ... + 3663681.

It is an arithmetic number, because the mean of its divisors is an integer number (26681886).

Almost surely, 2^2355540480 is an apocalyptic number.

2355540480 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 2355540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4269101760).

2355540480 is an abundant number, since it is smaller than the sum of its proper divisors (6182663040).

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

2355540480 is an equidigital number, since it uses as much as digits as its factorization.

2355540480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 2355540480 is about 48533.9106192773. The cubic root of 2355540480 is about 1330.5469098283.

The spelling of 2355540480 in words is "two billion, three hundred fifty-five million, five hundred forty thousand, four hundred eighty".