2135616210 has 192 divisors, whose sum is σ = 6900671232. Its totient is φ = 446197248.

The previous prime is 2135616191. The next prime is 2135616229. The reversal of 2135616210 is 126165312.

2135616210 is a `hidden beast` number, since 2 + 1 + 35 + 6 + 1 + 621 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2135616191) and next prime (2135616229).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 875112 + ... + 877548.

It is an arithmetic number, because the mean of its divisors is an integer number (35940996).

Almost surely, 2^2135616210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135616210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450335616).

2135616210 is an abundant number, since it is smaller than the sum of its proper divisors (4765055022).

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

2135616210 is a wasteful number, since it uses less digits than its factorization.

2135616210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2135616210 is about 46212.7277922436. The cubic root of 2135616210 is about 1287.7782018609.

The spelling of 2135616210 in words is "two billion, one hundred thirty-five million, six hundred sixteen thousand, two hundred ten".