2135241104000 has 256 divisors, whose sum is σ = 5415969031200. Its totient is φ = 836888166400.

The previous prime is 2135241103987. The next prime is 2135241104047. The reversal of 2135241104000 is 4011425312.

It can be written as a sum of positive squares in 16 ways, for example, as 281264758336 + 1853976345664 = 530344^2 + 1361608^2 .

It is a super-2 number, since 2×2135241104000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1032014966 + ... + 1032017034.

Almost surely, 2^{2135241104000} is an apocalyptic number.

2135241104000 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 2135241104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707984515600).

2135241104000 is an abundant number, since it is smaller than the sum of its proper divisors (3280727927200).

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

2135241104000 is a wasteful number, since it uses less digits than its factorization.

2135241104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3368 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 2135241104000 its reverse (4011425312), we get a palindrome (2139252529312).

The spelling of 2135241104000 in words is "two trillion, one hundred thirty-five billion, two hundred forty-one million, one hundred four thousand".