2164505301 has 32 divisors (see below), whose sum is σ = 3673862400. Its totient is φ = 1233792000.

The previous prime is 2164505237. The next prime is 2164505303. The reversal of 2164505301 is 1035054612.

2164505301 is a `hidden beast` number, since 21 + 64 + 50 + 530 + 1 = 666.

It is not a de Polignac number, because 2164505301 - 2⁶ = 2164505237 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164505303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63301 + ... + 91301.

It is an arithmetic number, because the mean of its divisors is an integer number (114808200).

Almost surely, 2^2164505301 is an apocalyptic number.

2164505301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2164505301 is a deficient number, since it is larger than the sum of its proper divisors (1509357099).

2164505301 is a wasteful number, since it uses less digits than its factorization.

2164505301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28426 (or 28420 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2164505301 is about 46524.2442281441. The cubic root of 2164505301 is about 1293.5589284722.

Adding to 2164505301 its reverse (1035054612), we get a palindrome (3199559913).

The spelling of 2164505301 in words is "two billion, one hundred sixty-four million, five hundred five thousand, three hundred one".