2305201680 has 200 divisors, whose sum is σ = 8354947392. Its totient is φ = 587955456.

The previous prime is 2305201673. The next prime is 2305201693. The reversal of 2305201680 is 861025032.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 141307 + ... + 156773.

Almost surely, 2^2305201680 is an apocalyptic number.

2305201680 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 2305201680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4177473696).

2305201680 is an abundant number, since it is smaller than the sum of its proper divisors (6049745712).

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

2305201680 is a wasteful number, since it uses less digits than its factorization.

2305201680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15515 (or 15500 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2305201680 is about 48012.5158682609. The cubic root of 2305201680 is about 1321.0004811729. Note that the first 3 decimals are identical.

The spelling of 2305201680 in words is "two billion, three hundred five million, two hundred one thousand, six hundred eighty".