2667068640 has 192 divisors, whose sum is σ = 9369803520. Its totient is φ = 708549120.

The previous prime is 2667068623. The next prime is 2667068687. The reversal of 2667068640 is 468607662.

It is a super-2 number, since 2×2667068640² = 14226510260942899200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1325235 + ... + 1327245.

It is an arithmetic number, because the mean of its divisors is an integer number (48801060).

Almost surely, 2^2667068640 is an apocalyptic number.

2667068640 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 2667068640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4684901760).

2667068640 is an abundant number, since it is smaller than the sum of its proper divisors (6702734880).

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

2667068640 is a wasteful number, since it uses less digits than its factorization.

2667068640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2667068640 is about 51643.6698928339. The cubic root of 2667068640 is about 1386.7922233861.

The spelling of 2667068640 in words is "two billion, six hundred sixty-seven million, sixty-eight thousand, six hundred forty".