2306949120 has 480 divisors, whose sum is σ = 9436896000. Its totient is φ = 523763712.

The previous prime is 2306949119. The next prime is 2306949121. The reversal of 2306949120 is 219496032.

It is an interprime number because it is at equal distance from previous prime (2306949119) and next prime (2306949121).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2306949121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15482806 + ... + 15482954.

It is an arithmetic number, because the mean of its divisors is an integer number (19660200).

Almost surely, 2^2306949120 is an apocalyptic number.

2306949120 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 2306949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4718448000).

2306949120 is an abundant number, since it is smaller than the sum of its proper divisors (7129946880).

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

2306949120 is an equidigital number, since it uses as much as digits as its factorization.

2306949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2306949120 is about 48030.7101758864. The cubic root of 2306949120 is about 1321.3341882068.

The spelling of 2306949120 in words is "two billion, three hundred six million, nine hundred forty-nine thousand, one hundred twenty".