2666238120 has 320 divisors, whose sum is σ = 11030785920. Its totient is φ = 562484736.

The previous prime is 2666238119. The next prime is 2666238139. The reversal of 2666238120 is 218326662.

2666238120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2666238120² = 14217651425082268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 290319 + ... + 299361.

It is an arithmetic number, because the mean of its divisors is an integer number (34471206).

Almost surely, 2^2666238120 is an apocalyptic number.

2666238120 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 2666238120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5515392960).

2666238120 is an abundant number, since it is smaller than the sum of its proper divisors (8364547800).

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

2666238120 is a wasteful number, since it uses less digits than its factorization.

2666238120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9086 (or 9073 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2666238120 is about 51635.6283974544. The cubic root of 2666238120 is about 1386.6482603059.

The spelling of 2666238120 in words is "two billion, six hundred sixty-six million, two hundred thirty-eight thousand, one hundred twenty".