2135410050000 has 240 divisors, whose sum is σ = 6924859905600. Its totient is φ = 566989440000.

The previous prime is 2135410049987. The next prime is 2135410050013. The reversal of 2135410050000 is 500145312.

It is an interprime number because it is at equal distance from previous prime (2135410049987) and next prime (2135410050013).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34919451 + ... + 34980549.

It is an arithmetic number, because the mean of its divisors is an integer number (28853582940).

Almost surely, 2^{2135410050000} is an apocalyptic number.

2135410050000 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 2135410050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3462429952800).

2135410050000 is an abundant number, since it is smaller than the sum of its proper divisors (4789449855600).

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

2135410050000 is an equidigital number, since it uses as much as digits as its factorization.

2135410050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61368 (or 61342 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 2135410050000 its reverse (500145312), we get a palindrome (2135910195312).

The spelling of 2135410050000 in words is "two trillion, one hundred thirty-five billion, four hundred ten million, fifty thousand".