2135002447872 has 1008 divisors, whose sum is σ = 7841667019200. Its totient is φ = 577895399424.

The previous prime is 2135002447871. The next prime is 2135002447927. The reversal of 2135002447872 is 2787442005312.

2135002447872 is a `hidden beast` number, since 2 + 1 + 3 + 500 + 2 + 4 + 4 + 78 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is not an unprimeable number, because it can be changed into a prime (2135002447871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112368549879 + ... + 112368549897.

Almost surely, 2^{2135002447872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135002447872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3920833509600).

2135002447872 is an abundant number, since it is smaller than the sum of its proper divisors (5706664571328).

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

2135002447872 is an frugal number, since it uses more digits than its factorization.

2135002447872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 2135002447872 in words is "two trillion, one hundred thirty-five billion, two million, four hundred forty-seven thousand, eight hundred seventy-two".