2303409680 has 320 divisors, whose sum is σ = 6682072320. Its totient is φ = 726835200.

The previous prime is 2303409671. The next prime is 2303409707. The reversal of 2303409680 is 869043032.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2303409680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17583215 + ... + 17583345.

It is an arithmetic number, because the mean of its divisors is an integer number (20881476).

Almost surely, 2^2303409680 is an apocalyptic number.

2303409680 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 2303409680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341036160).

2303409680 is an abundant number, since it is smaller than the sum of its proper divisors (4378662640).

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

2303409680 is a wasteful number, since it uses less digits than its factorization.

2303409680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 2303409680 is about 47993.8504394053. The cubic root of 2303409680 is about 1320.6580893618.

The spelling of 2303409680 in words is "two billion, three hundred three million, four hundred nine thousand, six hundred eighty".