2338766080 has 180 divisors, whose sum is σ = 6543953892. Its totient is φ = 800808960.

The previous prime is 2338766071. The next prime is 2338766081. The reversal of 2338766080 is 806678332.

It can be written as a sum of positive squares in 2 ways, for example, as 271063296 + 2067702784 = 16464^2 + 45472^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2338766081) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3072900 + ... + 3073660.

Almost surely, 2^2338766080 is an apocalyptic number.

2338766080 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 2338766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271976946).

2338766080 is an abundant number, since it is smaller than the sum of its proper divisors (4205187812).

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

2338766080 is an frugal number, since it uses more digits than its factorization.

2338766080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The square root of 2338766080 is about 48360.7907296810. The cubic root of 2338766080 is about 1327.3809956888.

The spelling of 2338766080 in words is "two billion, three hundred thirty-eight million, seven hundred sixty-six thousand, eighty".