2305107072 has 80 divisors (see below), whose sum is σ = 6859992150. Its totient is φ = 768365568.

The previous prime is 2305107071. The next prime is 2305107073. The reversal of 2305107072 is 2707015032.

It is an interprime number because it is at equal distance from previous prime (2305107071) and next prime (2305107073).

It can be written as a sum of positive squares in only one way, i.e., 2037980736 + 267126336 = 45144^2 + 16344^2 .

It is a super-2 number, since 2×2305107072² = 10627037226768826368, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2305107071) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 100797 + ... + 121532.

Almost surely, 2^2305107072 is an apocalyptic number.

It is an amenable number.

2305107072 is an abundant number, since it is smaller than the sum of its proper divisors (4554885078).

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

2305107072 is an equidigital number, since it uses as much as digits as its factorization.

2305107072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222355 (or 222334 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 2305107072 is about 48011.5306150512. The cubic root of 2305107072 is about 1320.9824091571.

The spelling of 2305107072 in words is "two billion, three hundred five million, one hundred seven thousand, seventy-two".