2135412846 has 72 divisors (see below), whose sum is σ = 5405731344. Its totient is φ = 607440960.

The previous prime is 2135412833. The next prime is 2135412847. The reversal of 2135412846 is 6482145312.

It is a happy number.

2135412846 is a `hidden beast` number, since 21 + 354 + 1 + 284 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2135412846.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135412847) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 200311 + ... + 210701.

It is an arithmetic number, because the mean of its divisors is an integer number (75079602).

Almost surely, 2^2135412846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135412846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702865672).

2135412846 is an abundant number, since it is smaller than the sum of its proper divisors (3270318498).

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

2135412846 is a wasteful number, since it uses less digits than its factorization.

2135412846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10646 (or 10636 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 2135412846 is about 46210.5274369380. The cubic root of 2135412846 is about 1287.7373243477.

The spelling of 2135412846 in words is "two billion, one hundred thirty-five million, four hundred twelve thousand, eight hundred forty-six".