2306606720 has 128 divisors (see below), whose sum is σ = 6075838080. Its totient is φ = 830361600.

The previous prime is 2306606717. The next prime is 2306606759. The reversal of 2306606720 is 276066032.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×2306606720³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 723530 + ... + 726710.

It is an arithmetic number, because the mean of its divisors is an integer number (47467485).

Almost surely, 2^2306606720 is an apocalyptic number.

2306606720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2306606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3037919040).

2306606720 is an abundant number, since it is smaller than the sum of its proper divisors (3769231360).

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

2306606720 is a wasteful number, since it uses less digits than its factorization.

2306606720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3314 (or 3302 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 2306606720 is about 48027.1456574300. The cubic root of 2306606720 is about 1321.2688136670.

The spelling of 2306606720 in words is "two billion, three hundred six million, six hundred six thousand, seven hundred twenty".