2306928960 has 336 divisors, whose sum is σ = 9292937472. Its totient is φ = 514252800.

The previous prime is 2306928941. The next prime is 2306928971. The reversal of 2306928960 is 698296032.

2306928960 is a `hidden beast` number, since 2 + 306 + 9 + 289 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 825165 + ... + 827955.

It is an arithmetic number, because the mean of its divisors is an integer number (27657552).

Almost surely, 2^2306928960 is an apocalyptic number.

2306928960 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 2306928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4646468736).

2306928960 is an abundant number, since it is smaller than the sum of its proper divisors (6986008512).

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

2306928960 is a wasteful number, since it uses less digits than its factorization.

2306928960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2862 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2306928960 is about 48030.5003096990. The cubic root of 2306928960 is about 1321.3303392309.

The spelling of 2306928960 in words is "two billion, three hundred six million, nine hundred twenty-eight thousand, nine hundred sixty".