2327766480 has 240 divisors, whose sum is σ = 8914585680. Its totient is φ = 539246592.

The previous prime is 2327766443. The next prime is 2327766487. The reversal of 2327766480 is 846677232.

It can be written as a sum of positive squares in 8 ways, for example, as 194435136 + 2133331344 = 13944^2 + 46188^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2327766487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151806 + ... + 166434.

It is an arithmetic number, because the mean of its divisors is an integer number (37144107).

Almost surely, 2^2327766480 is an apocalyptic number.

2327766480 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 2327766480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457292840).

2327766480 is an abundant number, since it is smaller than the sum of its proper divisors (6586819200).

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

2327766480 is a wasteful number, since it uses less digits than its factorization.

2327766480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14678 (or 14669 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 2327766480 is about 48246.9323377145. The cubic root of 2327766480 is about 1325.2967613445.

The spelling of 2327766480 in words is "two billion, three hundred twenty-seven million, seven hundred sixty-six thousand, four hundred eighty".