2667300000 has 288 divisors, whose sum is σ = 9284030784. Its totient is φ = 668160000.

The previous prime is 2667299981. The next prime is 2667300001. The reversal of 2667300000 is 37662.

It is a super-2 number, since 2×2667300000² = 14228978580000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2667300001) 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, 5099739 + ... + 5100261.

It is an arithmetic number, because the mean of its divisors is an integer number (32236218).

Almost surely, 2^2667300000 is an apocalyptic number.

2667300000 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 2667300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642015392).

2667300000 is an abundant number, since it is smaller than the sum of its proper divisors (6616730784).

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

2667300000 is an equidigital number, since it uses as much as digits as its factorization.

2667300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 2667300000 is about 51645.9098090062. The cubic root of 2667300000 is about 1386.8323222131.

Adding to 2667300000 its reverse (37662), we get a palindrome (2667337662).

The spelling of 2667300000 in words is "two billion, six hundred sixty-seven million, three hundred thousand".