2327767680 has 512 divisors, whose sum is σ = 9049374720. Its totient is φ = 497664000.

The previous prime is 2327767657. The next prime is 2327767681. The reversal of 2327767680 is 867677232.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2327767681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15415605 + ... + 15415755.

It is an arithmetic number, because the mean of its divisors is an integer number (17674560).

Almost surely, 2^2327767680 is an apocalyptic number.

2327767680 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 2327767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4524687360).

2327767680 is an abundant number, since it is smaller than the sum of its proper divisors (6721607040).

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

2327767680 is a wasteful number, since it uses less digits than its factorization.

2327767680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The square root of 2327767680 is about 48246.9447737367. The cubic root of 2327767680 is about 1325.2969890815.

The spelling of 2327767680 in words is "two billion, three hundred twenty-seven million, seven hundred sixty-seven thousand, six hundred eighty".