2306730480 has 160 divisors (see below), whose sum is σ = 7328102400. Its totient is φ = 600078336.

The previous prime is 2306730451. The next prime is 2306730521. The reversal of 2306730480 is 840376032.

It is a super-2 number, since 2×2306730480² = 10642011014722060800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1686757 + ... + 1688123.

It is an arithmetic number, because the mean of its divisors is an integer number (45800640).

Almost surely, 2^2306730480 is an apocalyptic number.

2306730480 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 2306730480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3664051200).

2306730480 is an abundant number, since it is smaller than the sum of its proper divisors (5021371920).

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

2306730480 is a wasteful number, since it uses less digits than its factorization.

2306730480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 2306730480 is about 48028.4340781583. The cubic root of 2306730480 is about 1321.2924439494.

The spelling of 2306730480 in words is "two billion, three hundred six million, seven hundred thirty thousand, four hundred eighty".