2306960656 has 320 divisors, whose sum is σ = 6554580480. Its totient is φ = 756449280.

The previous prime is 2306960629. The next prime is 2306960657. The reversal of 2306960656 is 6560696032.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2306960657) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 10073950 + ... + 10074178.

It is an arithmetic number, because the mean of its divisors is an integer number (20483064).

Almost surely, 2^2306960656 is an apocalyptic number.

2306960656 is a gapful number since it is divisible by the number (26) 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 2306960656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3277290240).

2306960656 is an abundant number, since it is smaller than the sum of its proper divisors (4247619824).

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

2306960656 is a wasteful number, since it uses less digits than its factorization.

2306960656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 43.

The square root of 2306960656 is about 48030.8302655701. The cubic root of 2306960656 is about 1321.3363906663.

The spelling of 2306960656 in words is "two billion, three hundred six million, nine hundred sixty thousand, six hundred fifty-six".