2667346920 has 768 divisors, whose sum is σ = 11524032000. Its totient is φ = 520224768.

The previous prime is 2667346859. The next prime is 2667346921. The reversal of 2667346920 is 296437662.

It is a super-2 number, since 2×2667346920² = 14229479183266972800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2667346921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23604784 + ... + 23604896.

It is an arithmetic number, because the mean of its divisors is an integer number (15005250).

Almost surely, 2^2667346920 is an apocalyptic number.

2667346920 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 2667346920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5762016000).

2667346920 is an abundant number, since it is smaller than the sum of its proper divisors (8856685080).

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

2667346920 is a wasteful number, since it uses less digits than its factorization.

2667346920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 2667346920 is about 51646.3640540164. The cubic root of 2667346920 is about 1386.8404540057.

The spelling of 2667346920 in words is "two billion, six hundred sixty-seven million, three hundred forty-six thousand, nine hundred twenty".