2134352610 has 192 divisors, whose sum is σ = 6132672000. Its totient is φ = 511847424.

The previous prime is 2134352609. The next prime is 2134352617. The reversal of 2134352610 is 162534312.

2134352610 is a `hidden beast` number, since 2 + 1 + 3 + 43 + 5 + 2 + 610 = 666.

It is a super-2 number, since 2×2134352610² = 9110922127627624200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2134352617) 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 95 ways as a sum of consecutive naturals, for example, 10725291 + ... + 10725489.

It is an arithmetic number, because the mean of its divisors is an integer number (31941000).

Almost surely, 2^2134352610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134352610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066336000).

2134352610 is an abundant number, since it is smaller than the sum of its proper divisors (3998319390).

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

2134352610 is a wasteful number, since it uses less digits than its factorization.

2134352610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2134352610 is about 46199.0542110983. The cubic root of 2134352610 is about 1287.5241678311.

Adding to 2134352610 its reverse (162534312), we get a palindrome (2296886922).

The spelling of 2134352610 in words is "two billion, one hundred thirty-four million, three hundred fifty-two thousand, six hundred ten".