2113540164 has 72 divisors (see below), whose sum is σ = 5954588640. Its totient is φ = 628169472.

The previous prime is 2113540129. The next prime is 2113540189. The reversal of 2113540164 is 4610453112.

It is a happy number.

2113540164 is a `hidden beast` number, since 2 + 113 + 540 + 1 + 6 + 4 = 666.

It is a super-2 number, since 2×2113540164² = 8934104049682293792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79254 + ... + 102509.

It is an arithmetic number, because the mean of its divisors is an integer number (82702620).

Almost surely, 2^2113540164 is an apocalyptic number.

It is an amenable number.

2113540164 is an abundant number, since it is smaller than the sum of its proper divisors (3841048476).

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

2113540164 is a wasteful number, since it uses less digits than its factorization.

2113540164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181809 (or 181804 counting only the distinct ones).

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

The square root of 2113540164 is about 45973.2548771566. The cubic root of 2113540164 is about 1283.3255330423.

Adding to 2113540164 its reverse (4610453112), we get a palindrome (6723993276).

The spelling of 2113540164 in words is "two billion, one hundred thirteen million, five hundred forty thousand, one hundred sixty-four".