2164101261 has 16 divisors (see below), whose sum is σ = 3302352000. Its totient is φ = 1234876608.

The previous prime is 2164101217. The next prime is 2164101299. The reversal of 2164101261 is 1621014612.

It is a happy number.

It is not a de Polignac number, because 2164101261 - 2¹⁴ = 2164084877 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164101361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57786 + ... + 87563.

It is an arithmetic number, because the mean of its divisors is an integer number (206397000).

Almost surely, 2^2164101261 is an apocalyptic number.

2164101261 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2164101261 is a deficient number, since it is larger than the sum of its proper divisors (1138250739).

2164101261 is a wasteful number, since it uses less digits than its factorization.

2164101261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146068.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2164101261 is about 46519.9017733271. The cubic root of 2164101261 is about 1293.4784355495.

Adding to 2164101261 its reverse (1621014612), we get a palindrome (3785115873).

The spelling of 2164101261 in words is "two billion, one hundred sixty-four million, one hundred one thousand, two hundred sixty-one".