2305264101 has 8 divisors (see below), whose sum is σ = 3512783424. Its totient is φ = 1317293760.

The previous prime is 2305264063. The next prime is 2305264103. The reversal of 2305264101 is 1014625032.

2305264101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2305264101 - 2⁷ = 2305263973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2305264103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54887220 + ... + 54887261.

It is an arithmetic number, because the mean of its divisors is an integer number (439097928).

Almost surely, 2^2305264101 is an apocalyptic number.

2305264101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2305264101 is a deficient number, since it is larger than the sum of its proper divisors (1207519323).

2305264101 is a wasteful number, since it uses less digits than its factorization.

2305264101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109774491.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2305264101 is about 48013.1659131118. The cubic root of 2305264101 is about 1321.0124045586.

Adding to 2305264101 its reverse (1014625032), we get a palindrome (3319889133).

It can be divided in two parts, 23052 and 64101, that added together give a triangular number (87153 = T₄₁₇).

The spelling of 2305264101 in words is "two billion, three hundred five million, two hundred sixty-four thousand, one hundred one".