2135056672 has 96 divisors (see below), whose sum is σ = 4872268800. Its totient is φ = 902119680.

The previous prime is 2135056667. The next prime is 2135056681. The reversal of 2135056672 is 2766505312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9405423 + ... + 9405649.

It is an arithmetic number, because the mean of its divisors is an integer number (50752800).

Almost surely, 2^2135056672 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 2135056672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436134400).

2135056672 is an abundant number, since it is smaller than the sum of its proper divisors (2737212128).

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

2135056672 is a wasteful number, since it uses less digits than its factorization.

2135056672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 2135056672 is about 46206.6734574131. The cubic root of 2135056672 is about 1287.6657247571.

The spelling of 2135056672 in words is "two billion, one hundred thirty-five million, fifty-six thousand, six hundred seventy-two".