2667074065920 has 1920 divisors, whose sum is σ = 11223208668672. Its totient is φ = 599851008000.

The previous prime is 2667074065913. The next prime is 2667074065933. The reversal of 2667074065920 is 295604707662.

2667074065920 is a `hidden beast` number, since 2 + 6 + 6 + 7 + 0 + 7 + 40 + 6 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×2667074065920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11749224847 + ... + 11749225073.

Almost surely, 2^{2667074065920} is an apocalyptic number.

2667074065920 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 2667074065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5611604334336).

2667074065920 is an abundant number, since it is smaller than the sum of its proper divisors (8556134602752).

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

2667074065920 is a wasteful number, since it uses less digits than its factorization.

2667074065920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 2667074065920 in words is "two trillion, six hundred sixty-seven billion, seventy-four million, sixty-five thousand, nine hundred twenty".