2667064320 has 440 divisors, whose sum is σ = 9808405200. Its totient is φ = 692748288.

The previous prime is 2667064297. The next prime is 2667064349. The reversal of 2667064320 is 234607662.

It is a happy number.

2667064320 is a `hidden beast` number, since 2 + 6 + 6 + 7 + 0 + 643 + 2 + 0 = 666.

It is a super-2 number, since 2×2667064320² = 14226464174034124800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24468426 + ... + 24468534.

It is an arithmetic number, because the mean of its divisors is an integer number (22291830).

Almost surely, 2^2667064320 is an apocalyptic number.

2667064320 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 2667064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4904202600).

2667064320 is an abundant number, since it is smaller than the sum of its proper divisors (7141340880).

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

2667064320 is a wasteful number, since it uses less digits than its factorization.

2667064320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 2667064320 is about 51643.6280677491. The cubic root of 2667064320 is about 1386.7914746308.

The spelling of 2667064320 in words is "two billion, six hundred sixty-seven million, sixty-four thousand, three hundred twenty".