2355032240000 has 640 divisors, whose sum is σ = 6625839052800. Its totient is φ = 825984000000.

The previous prime is 2355032239949. The next prime is 2355032240009. The reversal of 2355032240000 is 422305532.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2355032240009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4916559761 + ... + 4916560239.

It is an arithmetic number, because the mean of its divisors is an integer number (10352873520).

Almost surely, 2^{2355032240000} is an apocalyptic number.

2355032240000 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 2355032240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312919526400).

2355032240000 is an abundant number, since it is smaller than the sum of its proper divisors (4270806812800).

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

2355032240000 is a wasteful number, since it uses less digits than its factorization.

2355032240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

Adding to 2355032240000 its reverse (422305532), we get a palindrome (2355454545532).

The spelling of 2355032240000 in words is "two trillion, three hundred fifty-five billion, thirty-two million, two hundred forty thousand".