2135234320000 has 160 divisors (see below), whose sum is σ = 5415836205780. Its totient is φ = 837977088000.

The previous prime is 2135234319983. The next prime is 2135234320003. The reversal of 2135234320000 is 234325312.

It can be written as a sum of positive squares in 10 ways, for example, as 372988689984 + 1762245630016 = 610728^2 + 1327496^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2135234320003) 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 19 ways as a sum of consecutive naturals, for example, 3988204 + ... + 4491796.

Almost surely, 2^{2135234320000} is an apocalyptic number.

2135234320000 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 2135234320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707918102890).

2135234320000 is an abundant number, since it is smaller than the sum of its proper divisors (3280601885780).

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

2135234320000 is an frugal number, since it uses more digits than its factorization.

2135234320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503680 (or 503653 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 2135234320000 its reverse (234325312), we get a palindrome (2135468645312).

The spelling of 2135234320000 in words is "two trillion, one hundred thirty-five billion, two hundred thirty-four million, three hundred twenty thousand".