2135219856 has 240 divisors, whose sum is σ = 7309056000. Its totient is φ = 521717760.

The previous prime is 2135219843. The next prime is 2135219861. The reversal of 2135219856 is 6589125312.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1067145 + ... + 1069143.

It is an arithmetic number, because the mean of its divisors is an integer number (30454400).

Almost surely, 2^2135219856 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 2135219856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3654528000).

2135219856 is an abundant number, since it is smaller than the sum of its proper divisors (5173836144).

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

2135219856 is a wasteful number, since it uses less digits than its factorization.

2135219856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 2039 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

The square root of 2135219856 is about 46208.4392292144. The cubic root of 2135219856 is about 1287.6985296772.

The spelling of 2135219856 in words is "two billion, one hundred thirty-five million, two hundred nineteen thousand, eight hundred fifty-six".