2164510134 has 64 divisors (see below), whose sum is σ = 5071449600. Its totient is φ = 682413984.

The previous prime is 2164510121. The next prime is 2164510157. The reversal of 2164510134 is 4310154612.

It is a happy number.

2164510134 is a `hidden beast` number, since 2 + 1 + 645 + 1 + 0 + 13 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2164510098 and 2164510107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 816399 + ... + 819045.

It is an arithmetic number, because the mean of its divisors is an integer number (79241400).

Almost surely, 2^2164510134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164510134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535724800).

2164510134 is an abundant number, since it is smaller than the sum of its proper divisors (2906939466).

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

2164510134 is a wasteful number, since it uses less digits than its factorization.

2164510134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3474 (or 3468 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2164510134 is about 46524.2961687762. The cubic root of 2164510134 is about 1293.5598912427.

Adding to 2164510134 its reverse (4310154612), we get a palindrome (6474664746).

It can be divided in two parts, 216 and 4510134, that multiplied together give a square (974188944 = 31212²).

The spelling of 2164510134 in words is "two billion, one hundred sixty-four million, five hundred ten thousand, one hundred thirty-four".